{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "134e7f9d",
   "metadata": {},
   "source": [
    "# Demo 1: Indexing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2075ef56",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan import KAN\n",
    "import torch\n",
    "model = KAN(width=[2,3,2,1])\n",
    "x = torch.normal(0,1,size=(100,2))\n",
    "model(x);\n",
    "beta = 100\n",
    "model.plot(beta=beta)\n",
    "# [2,3,2,1] means 2 input nodes\n",
    "# 3 neurons in the first hidden layer,\n",
    "# 2 neurons in the second hidden layer,\n",
    "# 1 output node"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c47ccd2b",
   "metadata": {},
   "source": [
    "### Indexing of edges (activation functions)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c30add2",
   "metadata": {},
   "source": [
    "Each activation function is indexed by $(l,i,j)$ where $l$ is the layer index, $i$ is the input neuron index, $j$ is the output neuron index. All of them starts from 0. For example, the one in the bottom left corner is (0, 0, 0). Let's try to make it symbolic and see it turns red."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c95dbc78",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9995602360489043\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(0,0,0,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(0,0,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bf721202",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9992399109543574\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(0,0,1,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(0,0,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1e7cd4a8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9973507118333039\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(0,1,0,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(0,1,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "18e0baa2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9999506177136502\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(1,0,0,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(1,0,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "50eb8f8c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9999411308602921\n"
     ]
    },
    {
     "data": {
      "image/png": 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7dlgCgNgHdE60qMJIkoTZs2dj69at8PT0ROPGjeUuSRBSliQBM2ZoFtPMkQNo1EjuikySCBcFIYlDhw5h7NixcHJywrJly8TyMIKykMCuXcDEiYCzM7BsGSD2Ab0Q4aIQJPH06VN06dIFCQkJmDJlCkqVKiV3WYKQckjg9m2gWzfNu2ZmzNC8zEzQCxEuChEZGYmOHTvi1atXaN++Pdq2bStmxgjKQQIfPwJt2mhu5Pv5aV7NLPYBvRHhogBJSUkYMWIETp06hTJlymDy5MmwtLSUuyxBSDnR0UDnzpol/mvX1jzpb+hTpI2cCBcTRxKrVq3CwoULkS5dOixduhTOzs5ylyUIKScxERg+XLMoZqFCwMKFgJ2d3FWZPBEuJowkLly4gP79+8PS0hILFy5Ezpw5xXCYoBySpAmTBQs0N+5XrQLSpBHDYSlAXBeaKJJ49eoV2rRpg4iICEyYMEE8hS8oC6l54+XQoYCtrWZmWN68IlhSiLhyMVGRkZFo3749Hj9+jGbNmqFPnz7iYUlBOUjg/HmgSxcgKQmYOROoXFkESwoSRxsTlJiYiEGDBuH48eMoUaIE/P39YW1tLXdZgpAySODBA6BlSyA0FBg8WDNLTARLihLhYmIkScL8+fOxZMkSZMiQAatWrYKbm5vcZQlCyiCBN280S/K/fAl07AgMGQKYm8tdmeKIcDEhJLFv3z4MHz4c9vb2WL58OXLkyCHuswjKQGquVFq21DwsWbcuMG0aIK7aZSFu6JsIkrh58yY6deqEhIQEzJs3DxUrVhTBIihHVJTmWZbTp4Hy5YHFiwF7e7mrUixx5WICSOL169do0aIFPn78iD59+qBdu3YiWATliI0FevUCduwA8ucH1qwB3NzEfRYZiXAxciQRFhaGVq1a4f79+2jYsCFGjx5t8C8pEwSdiY/X3LRfvRrImhXYtAlIn14Ei8xEuBi52NhYdOvWDadOnULZsmWxYMEC2NjYyF2WIKSMxERg/Pj/PSS5aROQM6cIFgMgwsWIJSQkYNCgQdi8eTPy5MmDNWvWwM3NTQyHCcqQlARMnQpMmQKkSgVs2KBZ3kX0f4MgwsVIqdVqTJkyBQsXLkT69OmxceNGZMqUSQSLoAxqNTBrFjB2rOa9LGvXAqVLi2AxICJcjJAkSQgICMD48ePh7OyMtWvXIl++fCJYBGVQq4H584ERIzSzwVauBCpVEsFiYES4GBmS2LBhA/r37w8rKyssXboU5cqVE8EiKINaDSxaBAwaBNjYaNYLq1FDBIsBEuFiREhi586d6Nq1K0hi7ty5+PPPP0WwCMqgDZYBAwArK2DJEqBOHREsBkrMVzUSJLF//360a9cO8fHxmDFjBlq1aiUWoxSUQa3WLJ0/cCBgaQkEBAD164tgMWDiyGQESOLQoUNo1aoVoqOjMX78eHTt2lUEi6AMajUwd67mikUbLA0bAqL/GzTx1zFwJHHw4EG0aNECkZGRGD16NPr06QNzsRCfoARJSZpZYYMHa9YIW7pUBIuREH8hA0YSe/bsQfPmzREREYFRo0Zh4MCB4ul7QRkSE4HJk4FhwzSvJV6xAmjQQASLkRBHKQMlSRK2bNmCzp07IzY2FmPHjkX//v1FsAjKEB+veYZl2jTNcywrV4pZYUZGHKkMkFqtxqpVq9CrVy8kJiZi8uTJ6NmzpwgWQRliYjSvJp4/H3B31yxCKZ5jMTriaGVgEhMTMXv2bIwYMQJmZmaYM2cO2rdvL+6xCKaPBCIjAT8/zRP36dJplnQRT94bJREuBiQ2NhYjR46Ev78/HBwcsHDhQjRq1EjMChNMHwkEB2veHLlnD5A9O7BxI1CwoAgWIyXCxQCQRHh4OHr27IkNGzYgderUWLlyJapUqSIekBRMH6l5JXGrVsDZs5rFJ9evB3LkEMFixES4yIwkXrx4gXbt2uHkyZPImTMn1q5diyJFiohgEUwfCdy6BbRoAdy/D1SsqLl5//vvIliMnBhvkRFJnD9/HlWrVsXJkydRrlw5HDhwQASLoAySBBw8CNSsCTx4ADRuDGzeLILFRIhwkUliYiKWL1+O2rVr4+nTp2jZsiV27tyJzJkzi2ARTF9iomadsCZNgKAgoE8fzSKUrq4iWEyEGBZLYSQRGhqK4cOHY9myZbC0tMTYsWPRr18/8QZJwfRpZ4SNHKlZK8zaGpgxA+jSRbO0i2AyRLikIEmScOHCBfj5+eH69evImDEj5s2bB19fXzEjTDB9JPD8uSZIjh3TDH8tWgRUqyaeujdBIlxSgPZqZdasWZgzZw6io6NRvXp1zJkzB9myZRPDYILpkyTg0CGgRw9NwJQsqVkyP08eMQxmosTpgp7FxsZi8+bN8PLywsSJE2FlZYWpU6di69atIlgEZYiMBMaM0Sw4+fo10L695lkWESwmTVy56NH79+9RvXp1nD17FmZmZqhZsyYmTJggXkksKMfHj5oXep08CaRKBcycCbRpo3nZl2DSRLjokbOzM6Kjo1G4cGEMGTIENWrUgJWVlQgWQTlsbYHoaM0w2Ny5mgckRf9XBBEuenT//n20atUKHh4esLCwwOHDh+Uu6W+ioqKQmJgodxmCiQp+/Biqli0BFxfg7VvNfwYmPipKMzVa0CkVScpdhCkKCwvDtWvX5C7ju6RPnx45c+YUV1SCTkWHheHTtWsw9AOMCoBd+vTwEPuATolwEQRBEHROzBYTBEEQdE7ccxEEwXh8OdAihrAMmrhyMRLXr1+HSqXC9evX5S5FEORz44bmaf4bN+SuRPgPIlwEQRAEnRPhIgiCIOicCBdBEARB50S4CIIgCDonwkUQBEHQOREugiAIgs6JcBEEQRB0ToSLIAiCoHMiXARBEASdE+EiCIIg6JwIF0EQBEHnRLgIgiAIOifCRRAEQdA5ES6CIAiCzolwEQRBEHROhIsgCIKgcyJcBEEQBJ0T4SIIgiDonAgXQRAEQedEuAiCIAg6J8JFEARB0DkRLoIgCILOiXARBEEQdE6EiyAIgqBzIlwEQRAEnRPhIgiCIOicCBdBEARB50S4CIIgCDonwkUQBEHQOREugiAIgs6JcBEEQRB0ToSLIAiCoHMiXARBEASdE+EiCIIg6JwIF0EQBEHnRLgIgiAIOifCRRAEQdA5ES6CIAiCzolwEQRBEHROhIsRIImwsDAAQFhYGEjKXJEgpDyxHxgXES4GLDw8HLNnz4anpyd8fHwAAD4+PvD09MTs2bMRHh4ub4GCkAK+3A8q/f9+UEnsBwZPRRH/BunQoUOoX78+YmJiAOCrszSVSgUAsLOzw7Zt21C1alVZahQEffvrflCQxHUAhQHcFPuBQRNXLgbo0KFD8PX1RWxsLEj+7fJf+2+xsbHw9fXFoUOHZKpUEPRH7AfGTVy5GJjw8HCkT58esbGxkCTpP3/ezMwMtra2ePPmDVxcXPRfoCCkgH/aDwoByVcuN774ebEfGB5x5WJgVq1ahZiYmO8KFgCQJAkxMTFYvXq1nisThJQj9gPjJ65cDAhJeHp64tmzZz80E0alUiFr1qx4/Phx8v0YQTBW/7Yf/NOVCyD2A0MjrlwMSEhICJ4+ffrDUyxJ4unTpwgNDdVTZYKQcsR+YBpEuBiQqKioX/r9yMhIHVUiCPIgifv37//SZ4j9wDBYyF2A8D8ODg6/9PtNmzaFj48PvLy8ULp0adjZ2emoMkHQD+3VxsmTJ3Hq1CmcPHkSb968+ceffwjNkNjDf/lMR0dHXZcp/ARxz8WAaMeanz59+sO/6+7uDi8vL5w6dQrBwcGwtLREsWLFUKFCBVSoUAGlS5eGvb29HqoWhO9HEo8fP/4qTN69ewczMzMULlwYXl5e8PLygp+fH168ePFDny3uuRgWceViQFQqFby8vH4qXEaMGAE/P7/kYQXtjrtkyRJMnDgRFhYWKFasGLy8vFChQgWUKVPml6+UBOG/kMSjR49w8uTJ5EB5//49zM3NUbhwYTRv3jy5Pzo7OwPQzPzasGHDD4cLSfj5+YlgMRAiXAxEfHw8Bg0ahOXLl8Pc3BySJP3QDU0LC82fUqVSIW/evMibNy+6desGknj48GHyjr1ixQpMnjwZ5ubmKFq0KCpUqAAvLy+ULVtWDCcIv+yv/e3kyZP4+PFjcn9r1aoVvLy8UKZMGTg5Of3t90NCQjBhwgS8fv0aVlZWSExM/O79QNv3BcMghsUMwLNnz9CoUSPcuXMH06dPh6enJ2rWrAmS/zrP38xMMx/Dx8cHhw8fRqtWrTB//vx/vSL5rzNJ7TBa2bJlv7nzC8KX/nqlfOrUKQQFBf3tSrl06dL/efJy9epVTJgwASqVCiNGjEBQUBB8fX2/ez/IkSMHnj59ismTJ6NPnz7iCkZuFGS1ZcsWOjk5MWvWrLx69Wryvx88eJD29vZUqVRUqVQEkPyf9t/s7e156NAhkuTq1atpb2/PXLly8fbt29/9/ZIkMTAwkAEBAWzWrBnTpUtHADQzM2PRokXZr18/7tmzh2FhYbredMEIqdVq3rlzh3PnzmX9+vXp4eFBALS0tGTp0qU5dOhQHj58mFFRUd/9mUlJSVy6dCkrVKjAfv36MTQ0NPn//ch+EB8fz/79+1OlUrF27doMCQnRRxMI30mEi0xiY2PZrVs3AmDDhg0ZHh7+t58JCwvj7NmzmS1btq92qmzZsnH27Nl/+50HDx4wf/78tLGxYUBAACVJ+uG6JEni48ePuWTJErZo0YLp06dPDpvChQuzb9++3LVr11cHAMF0qdVq3rp1i7Nnz2a9evWYKlWq5DApW7Yshw8fziNHjvxQmHzp06dP7NmzJ729vblmzRqq1eq//cyP7ge7d+9mqlSpmDFjRp47d+6n6hJ+nQgXGTx69IgFCxaktbU1Fy5c+J8hIEkSg4OD+fz5cwYHB//rz8fExLBz584EwKZNmzIiIuKXapUkiU+fPuWyZcvYsmVLZsiQIfmssWDBguzduzd37twpzhJNhFqt5o0bN+jv7886derQzc2NAGhlZcXy5ctzxIgRPHbsGKOjo3/5uy5evMjatWuzfv36vHXr1n/+/I/sB69evWLZsmVpYWHBKVOmfDO0BP0S4ZLC1q9fTwcHB3p6evLGjRt6+54NGzbQ0dGR2bNn5/Xr13X2uZIk8dmzZ1yxYgVbt27NTJkyJYdNgQIF6Ofnx+3btzM4OFhn3ynoT1JSEq9fv86ZM2eydu3adHV1JQBaW1vTy8uLo0aN4okTJxgTE6Oz70xMTOSiRYvo5eXFQYMGffOqXRcSEhI4ZMgQqlQq1qhRg0FBQXr5HuHbRLikkJiYGHbs2JEA2KxZs1++ovgejx49YqFChWhtbc358+f/1DDZ93j+/DlXrlzJtm3bMkuWLMnDFvnz52fPnj25detWsWMbiKSkJF69epXTp09nrVq16OzsTAC0sbGht7c3x4wZw5MnTzI2NlYv3//hwwd2796dFStW5IYNG1LkiuLAgQP08PDg77//zlOnTun9+wQNES4p4MGDB8yXLx9tbGy4dOlSvR3kvyU2Npbdu3cnADZo0EBvZ4lfevnyJVevXs127dp9NU6eN29edu/enVu2bOHHjx/1XoeguUq4fPkyp02bRl9fXzo5OREAbW1tWalSJY4dO5anT59mXFyc3ms5d+4ca9asyUaNGvHu3bt6/74vvXnzhl5eXjQ3N+f48ePFMFkKEOGiZ6tWraKdnR1z587NO3fuyFbH1q1b6ezszKxZs/LKlSsp+t2vX7/m2rVr2aFDB3p6eiaHTZ48edi1a1du2rSJHz58SNGaTFViYiIvXrzIKVOmsHr16nR0dCQA2tnZsXLlyhw/fjzPnj3L+Pj4FKspISGB8+fPp5eXF4cOHcrPnz+n2Hd/KTExkSNHjqSZmRmrVKki+pyeiXDRk6ioKLZp04YA2Lp165+eTaNLT58+ZbFixWhpaUl/f/8UvYL60ps3b7hu3Tp26tSJOXLkSA6bXLlysUuXLtywYQPfvXsnS23GJiEhgRcuXOCkSZNYrVo1Ojg4EADt7e1ZpUoVTpw4kefOnUvRMPnSu3fv2KVLF1aqVIlbtmyRrc996ciRI0ybNi1/++03Hjt2TO5yTJYIFz24e/cu8+TJQzs7O65cuVLucr4SHx/P3r17EwDr1KljEFOK3717xw0bNrBz587MlStXctjkzJmTnTp14vr16/n27Vu5yzQI8fHxPHfuHCdOnMgqVarQ3t6eAOjg4MBq1apx0qRJvHDhAhMSEuQuladOnWKNGjXYpEkTPnjwQO5yvvL+/XtWqlSJZmZmHD16NJOSkuQuyeSIcNEhSZK4dOlS2traMl++fLx//77cJf2jnTt30sXFhZkyZeLFixflLucr79+/56ZNm9i1a1fmzp07OWw8PT3ZoUMHrl27lq9fv5a7zBQRHx/PM2fOcPz48fTx8aGdnR0B0NHRkTVq1OCUKVN46dIlJiYmyl1qsoSEBPr7+9PLy4sjRoxgZGSk3CV9U1JSEseOHUtzc3N6e3uLq2UdE+GiIxEREWzevDkBsEOHDjp5DkDfXrx4wZIlS9LCwoLTp0832JucHz584ObNm9m9e3fmzZv3q4fo2rdvz9WrV/PVq1dyl6kTcXFxPH36NMeOHctKlSrR1taWAOjk5ERfX19OmzaNly9fNqgw+dKbN2/YsWNH+vj4cPv27QYxDPZfTpw4wXTp0jF16tTJK14Iv06Eiw7cvHmTOXLkoIODA9etWyd3OT8kISGBAwYMIAD6+voaxfMpQUFB3Lp1K3v06MH8+fMnh03WrFnZtm1brlq1ii9evJC7zO8SGxvLkydPcsyYMfT29qaNjQ0B0NnZmbVq1eL06dN59epVoxi2OX78OKtXr86mTZsyMDBQ7nJ+yMePH1m1alWamZlx2LBhBhvexkSEyy+QJIkLFy6ktbU1CxQoYHQ71Jf27t3LVKlSMX369Dxz5ozc5fyQT58+cfv27fTz8+Mff/yRHDaZM2dm69atuWLFCj5//lzuMklqnnc6fvw4R40aRS8vL1pbWxMAXVxcWLt2bc6cOZPXr183ijDRiouL44wZM+jl5cUxY8YYxOSVn6FWqzlp0iRaWFiwXLlyihl61RcRLj/p8+fPbNSoEQGwW7duenvoLCW9fv2aZcuWpbm5OSdOnGiww2T/JTg4mDt27GDv3r1ZsGDB5AUPM2bMyFatWnHZsmV8+vRpigzZREdH89ixYxwxYgTLly9PKysrAqCrqyvr1KlDf39/3rhxw6jC5EuvXr1iu3btWLlyZe7evdsohsH+y5kzZ5ghQwa6u7tz3759cpdjtES4/ISrV68yW7ZsdHJy4ubNm+UuR6cSExM5dOhQqlQqVq1a1SQedgwNDeWuXbvYp08fFi5cODls0qdPzxYtWnDp0qV8/PixTg6M0dHRPHLkCIcPH86yZcvS0tKSAJgqVSrWq1ePs2fP5q1bt4w2uL90+PBhVq1alS1atOCTJ0/kLkengoODWbNmTapUKg4cONAgZt8ZGxEuP0CSJM6ZM4dWVlYsUqSIye1QXzp06BA9PDz422+/8eTJk3KXo1NhYWHcs2cP+/XrxyJFitDMzIwA+Pvvv7NZs2YMCAjgo0ePvitsoqKiePjwYQ4dOpSlS5dODhN3d3fWr1+fc+fO5Z07d0wiTLRiY2M5depUenl5ccKECTpdd8yQqNVqTp8+nZaWlixVqpTR3MczFCJcvlNYWBjr1atHAPTz80uR5TLk9u7dO1aoUIFmZmYcM2aM0Q7d/Jfw8HDu3buXAwYMYLFixZLD5rfffmPTpk25aNEiPnz4kJIkMTIykgcPHuTgwYNZqlQpWlhYEABTp07Nhg0bcv78+bx7965JDA99y/Pnz9m6dWtWqVKF+/fvN9nt/NKFCxeYOXNmurm5cefOnXKXYzREuHyHS5cuMXPmzHRxceGOHTvkLidFJSUlcdSoUVSpVKxUqRLfv38vd0l69/nzZ+7fv58DBw5k0aJFk8PG0tIyeUgtVapUbNSoERcsWMD79+8r4iB74MABVq1ala1btzaYCRIpJTQ0lHXr1qVKpWKfPn1kW/HAmIhw+ReSJHHGjBm0sLBgiRIlFLdDfenYsWNMmzYt06RJw6NHj8pdjt58/vyZ+/btS76KMTc3JwC6ubkxd+7czJIlyzevVu7du2eyARMTE8OJEyfSy8uLU6ZMMYnJKz9DkiTOnj2bVlZWLF68OJ89eyZ3SQZNhMs/CAkJYa1atQiA/fr1E2cq1DzM6OPjQ5VKxREjRpjEswBf3n/58iolXbp0yfdfAgMDvwqOyMhIHjp0KPk+izZsPDw82KBBA5O6z/L06VO2bNmSVatWFQ8Y/r8rV64wW7ZsdHFx4datW+Uux2CJcPmGc+fOMUOGDHRzc+OePXvkLsegqNVqjh8/nmZmZixfvrzRrfmlnTnWt2/fb84cW7JkyQ/PHIuKiuKRI0c4bNiwb84QmzNnjtHNEJMkiXv27GHlypXZtm1bvnz5Uu6SDEp4eDgbNmxIlUrFHj16KPZq7t+IcPmCWq3mlClTaG5uzjJlypjMkiL6cOrUKaZLl47u7u48cOCA3OX8o5CQEO7cufNvz7xkyJCBLVu21MszL9HR0Tx69ChHjBjBcuXKJT/b4ubmlvxsy82bNw02bKKjozl27Fh6eXlxxowZipi88jMkSeKCBQtoY2PDwoUL8/Hjx3KXZFBEuPy/oKAgVq9enQA4ePBgMa/9OwQFBbFatWrJbWYIw2TBwcHJT+sXKFAgOUy+fFr/2bNnKXp/5J+eynd1deWff/5pUE/lP3r0iM2aNWP16tXFcvTf6caNG8yRIwednJy4YcMGucsxGCJcaDxn4YZI7qs97TpjPXv2/GqdsSxZsrBt27ZcuXKlwU3E0K4nNnr06G+uJzZjxowUX09MkiTu2LGDPj4+7NChg1j65AdFRESwWbNmVKlU7Ny5s8k++/MjFB0uX94/8PLyMrr7B4Ykpe5Tffz4kVu2bPnmCsnt2rXj6tWrje7+wJcrIVesWDE5bL5cCfnKlSt6uzKMioriyJEj6eXlRX9/fzF55SdJksQlS5bQ1taWBQoU4MOHD+UuSVaKDZcPHz6wcuXKJjXzSW76mGH34cOH5He75MmTRxHvdomLi/vqHS7aZff18Q6Xhw8fsmnTpqxRowZPnTqlg+qF27dvM3fu3HRwcOCaNWvkLkc2igyXL5/ZOHLkiNzlmBRJkjhz5kxaWlr+1LNB2rdSdunS5au3UubIkYOdOnXiunXr+ObNG/0Ub6C0b5+cMGECq1SpkvzCMO3bJydPnvzDb5+UJIlbtmxhpUqV2LlzZ3HVrmORkZFs3bo1VSoV27VrZxTvd9I1RYWLEp82l8v3rmrw9u1brl+/np06dWKOHDmSwyRXrlzs3LkzN2zYIN4Q+BcJCQm8cOECJ02axKpVqya/6tje3p5VqlThxIkTef78+X8Mm4iICA4bNoxeXl6cO3eumLyiRytWrKC9vT3z5s3Lu3fvyl1OilJMuHy5TtbYsWMNYmaOqfvWemyvX7/m2rVr2aFDB3p6eiaHSe7cudm1a1du2rRJhP4PSkhI4MWLFzllyhRWr16dDg4OBEA7OztWrlyZ48eP59mzZxkfH8/79++zUaNGrFmzJs+ePSt36Ypw79495suXj3Z2dly+fLnJruTwV4oIF1Ne4dfQvXz5ki1btqSZmVnyFFwAzJs3L7t3787Nmzfzw4cPcpdpUhITE3n58mVOnTqVvr6+dHJyIgBaWVnR1dWVxYsX586dO8XzKykoOjqaHTp0oEqlYqtWrRgZGSl3SXqnIkmYqKSkJIwaNQqTJk1ClSpVsHr1aqROnVruskzay5cvcfLkSZw6dQonT57E8+fPAQDZs2fHp0+fkJiYiDlz5qB9+/YyV6ocYWFh6NOnD86cOQMHBwe8fPkSnz9/ho2NDUqVKoUKFSrAy8sLJUqUgI2NjdzlmrR169ahS5cuSJ8+PTZt2oQ//vhD7pL0R+5005fXr1+zXLlyNDc356RJkwz2aWhj9/z5c65YsYKtW7dm5syZk69MChQoQD8/P27fvp2fPn0i+fXbO7t27SqWzEgBd+7cYYMGDVirVi1euHCBpObe47Vr1zhz5kzWrl2bLi4uBEBra2tWqFCBo0aN4okTJ8TfR08CAwNZsGBB2tracvHixSY7TGaS4bJv3z6jfR+8IZMkiU+fPuWyZcvYqlUrZsyYkQCoUqlYsGBB9u7dmzt27GBwcPC/fsaiRYtobW3NAgUKMDAwMAW3QDnUajXXrl1Lb29v9ujRg0FBQf/4s0lJSbxx4wZnzZrFOnXq0NXVNTlsypcvz5EjR/LYsWPiwUAdiomJYdeuXalSqdi0aVN+/vxZ7pJ0zqTCJSEhgQMGDCAA+vr6/utBTvhvkiTx8ePHXLJkCVu0aMH06dMnh0nhwoXZt29f7tq1i6GhoT/82Tdv3mSOHDno4ODAdevW6aF65QoNDWX//v1ZoUIFLlmy5Icnr6jVat66dYuzZ89m3bp1mSpVquR7NmXLluXw4cN55MgRRU6v1bVNmzbRycmJnp6evH79utzl6JTJhMuLFy9YsmRJWlhYcPr06WIY7CdIksRHjx4xICCAzZo14++//04ANDMzY9GiRdmvXz/u2bOHYWFhOvm+iIgINm/enADYoUMHcbDSgZs3b7JevXr8888/efnyZZ18plqt5u3btzl37lzWr1+f7u7uyS9PK1OmDIcOHcrDhw8zKipKJ9+nNI8fP2aRIkVobW3NefPmmcwwmUmEy86dO+nq6spMmTIljysL/02SJD58+JCLFi1i06ZN+dtvvyWHSbFixThgwADu3buX4eHheq1h2bJltLW1Zb58+Xj//n29fZcpU6vVXLlyJb29vdm7d2+9XrWr1WrevXuX8+bNY8OGDenh4UEAtLCwYKlSpThkyBAePHhQETOidCUuLo5+fn5UqVRs0KCBzk7g5GTU4RIfH8/evXsTAOvUqfNTwzNKIkkS79+/zwULFrBx48ZMmzYtAdDc3JwlSpTgwIEDuX//flnGf+/evcvcuXPTzs6OK1euTPHvN2YhISHs06cPK1SowBUrVqT4VfuX/apRo0ZMkybNV/1q0KBBPHDgACMiIlK0LmO0bds2uri4MGvWrDq78pSL0YbLs2fPWKxYMVpaWnL27NkmcympS5Ik8d69e5w/fz4bNmzI1KlTJ59hlixZkoMHD+bBgwcNZqePiopi27ZtCYCtW7cWwyzf4dq1a6xTpw7r1q3La9euyV0OSU2/e/DgARctWsQmTZp8dRJTvHhxDhgwgPv27TPJm9i68OzZM5YoUYJWVlacNWuW0R7bjDJctm7dSmdnZ2bNmpVXrlyRuxyDoVareefOHc6dO5cNGjT4ariidOnSHDp0KA8dOmTwwxWrV6+mnZ0dc+fOzTt37shdjkFKSkrismXLWKFCBfbr18+gr9olSWJgYCAXL17MZs2aMV26dF/dy+vfvz/37Nmj1+FXYxMfH89+/fpRpVLxzz//ZEhIiNwl/TCjCpfY2Fh2796dANigQQPFd0btrJ45c+awXr16ybN6LC0tWbZsWQ4bNoxHjhwxyiuABw8eMH/+/LSxseHSpUuN9uxNHz59+kQ/Pz96e3tz9erVRjd55ctZiM2bN/9q4oh2FuLu3btN4r7Dr9q9ezfd3NyYKVMmnj9/Xu5yfojRhMvjx49ZqFAhWltbc8GCBYo82KjVat64cYP+/v6sU6cO3dzckqeIli9fniNGjOCxY8dMZtZVTEwMO3bsSABs3ry5wQzfyenSpUusXbs269evz5s3b8pdjk5IksQnT55w2bJlbNmyJTNkyJA85b1QoULs3bs3d+7caZRn77rw8uVLlilThpaWlpw6darRnEwYRbjs3r2bjo6O9PT05I0bN+QuRxatWrX66uE2Ly8vjho1isePHzf5h9vWr19PBwcH5siRQ9HvKV+xYgW9vLw4cOBAkz6rlySJz5494/Lly9m6dWtmypQpOWwKFCjA48ePy11iiktISODgwYOpUqno6+trFPu8XtYW08NH6pVKpdL5Z+q6DSRJ+qpOXdes68/T9fZTcyIElUqll7+XMfSB4OBgqNVqpE6d2ijaQJfbr/0spfcB7X5gZmam08/V0mUbWOjsk77w4sULbNiwARYWevl4nSGJvHnzwtfXV+cdS+ltoPTtB4APHz7g2LFjMDc31+nn6kPmzJlRsmRJ0Qf0cBzYuHGjUbRBnjx5dNoGetni169fI23atKhcubI+Pv6Xffz4Ebt370atWrWwe/du+Pr66vw7jKEN9uzZg5o1a2LPnj06bwOlbz8ABAUFwc3NDUWLFtX5Z+tCaGgoLly4gFKlSuH8+fMoWbKkTj9f9IH/tYGPj4/OP1sXPnz4gP3796NGjRo6bwO9xam7uzsyZMigr4//aQkJCRg0aBA2b96s18tLwLDbYPDgwXpvA0Pd/vj4eAwaNAhbtmzRex9wdnY2yNc8JCYmIiAgACdOnEgeatIHQ+0DKbUPAECqVKkMsg0SExMxbNgwbNy4EWq1WudtoL8WNUAkERAQgM2bNyNbtmxo3Lix3CWluL+2QaNGjeQuKUVpt3/Lli2K3H5A0waHDh3CiRMn8Ntvv8Hb21vuklIUSSxbtgybN29G1qxZFdsHNm3ahE2bNiFz5sx6aQPFhAtJXLhwAcOHD4etrS0WLVqEdOnSyV1WitK2wYgRI2Bra4uFCxcqqg1I4uLFixg5cqSi+8DTp0+xZMkSWFpaolevXkiVKpXcZaUYkrhy5QqGDRsGGxsbxe0DgKYNHj16hEGDBsHc3ByzZs3SSxsoJlw+fvyIjh07IjIyEiNGjICXl5fcJaUokvj48SM6deqEyMhIDB8+XHFtEBQU9NX2ly9fXu6SUlx0dDT8/f0RGRmJRo0aoUiRInKXlKKCg4PRqVMnREREYPDgwahQoYLcJaW42NhY+Pn54cOHD+jSpQuqVauml+9RRLjEx8ejd+/euH//PurUqQM/Pz+9jrEaooSEBEW3QUJCAgYMGIB79+6hdu3aitt+AFCr1Vi7di3u37+PP/74A02bNlVUG2j7wO3bt1GjRg307dtXUdsPaB5pmDVrFo4dO4aiRYti5MiRepvNaPItK0kS5s+fjy1btiBXrlyYO3curK2t5S4rRUmShLlz52Lr1q3IlSsX5syZo6g2IImlS5diw4YNyJ49u+K2H9C0weXLl7Fjxw64uLigd+/esLGxkbusFKO917Zu3Tpky5YN8+bNU9T2A5o2OHXqFKZMmQIXFxfMnz8fzs7Oevs+w558/YtI4vTp0xg9ejQcHBwQEBCA3377TW8zYwwRSZw8eRJjx46Fg4MDlixZoqg20N5nGT58ePIY+++//66Y7Qc0bfDixQvMmjULarUaXbp0QaZMmRTTBiRx5syZ5PutixcvRoYMGRSz/YCmDT58+IDu3bsjLi4OkydPRpEiRfTaBiYbLiTx5s0bdOrUCTExMZgxYwbKli2ruA718uVLdOrUCbGxsZg5cyZKly6tqDbQ3meKiIjA+PHj4e3trajt195rGz9+PIKDg/Hnn3+iYsWKimkD7XGgY8eOiI6OxuTJk1GhQgXFbL9WQkIC+vTpg8DAQDRq1Ajt27fXexuY7LBYTEwMunbtisePH6NJkybo2rWr4jpUVFQUOnXqhGfPnqFly5bo3LmzotogLi4OvXr1wr1791C3bl307t1bUWPsJBEaGorx48fj2bNnKFeuHDp16mTwT4vrUnR09FfHgR49eiiqDwCafrBo0SJs374duXLlwsyZM2FlZaX37zXJXqZWqzFx4kTs378fhQoVwqxZs1KkMQ1JUlIShg8fjmPHjqFEiRKYPn26otpAe+Ny27ZtyJ07t+Lus5DEp0+fMG7cONy7dw9FihRBv379FHWfISkpCWPGjMGBAwdQuHBhzJw5U1F9APjfrYFRo0bBzs4OCxcuRNq0aVPkJNPkwoUkduzYgRkzZsDd3R3Lli2Du7u73GWlKJJYsWJF8nMcy5cvh6urq9xlpRiSOHDgACZMmAAnJycsWbIkxXYoQ0ASb9++xdixY/H48WMUKlQIQ4cOhaOjo6LaYO3atZgzZw7SpEmDFStWKPI48PbtW3Tu3BkxMTGYOnVqit4aMKlwIYm7d++iR48eIAl/f38ULFhQMTsU8L+blwMHDoSlpSUWLVqEXLlyKaYNSCIwMBBdunRBYmIiZs2ahVKlSilq+58+fYpx48bh9evXKF26NAYOHAgnJydFtcG5c+fQr18/WFhYYMGCBciXL59itl8rNjYW3bt3x+PHj9G0aVN07do1RYcETSpcQkJC0K5dOwQFBaF///5o3LixojoUSTx79gzt2rVDVFQUJk2ahOrVqyuqDcLDw9GhQwe8e/cOPXr0QNu2bRWz/ZIk4cKFC5g1axZCQ0NRqVIl9O7dG3Z2doppA+0+0KZNG0RERGDcuHGoXbu2YrZfS61WY8KECdi3bx8KFiwoy5CgyYRLfHw8+vTpg6tXr6Jq1ap6fTjIEJFEWFgY2rRpkxwwPXv2VNTNS+1DcufPn4e3tzfGjRuniJvXJJGYmIitW7dizZo1SEpKQoMGDdCuXTtF3WP56z7Qtm1b9OnTR1H7APC/dcNmzZoFDw8PLF26FB4eHileh0nseZIkYfbs2diwYQM8PT0REBAAe3t7uctKUbGxsejRowfOnTuHChUqYPr06Yq6eSlJEvz9/bFq1SpkzZoVS5YsgaOjo9xl6R1JhIeHY/78+Thx4gTs7e3Ro0cPVKtWTVEnV4BmdmDPnj1x7tw5eHt7Y8aMGYraB4D/rZ3Wu3dvqFQqzJkzR7ZbA0YfLiSxb98+jBkzBg4ODli+fLniHpBKTEzEyJEjsWnTJuTKlQsrVqzQ65O3hoYktm/fjjFjxsDR0RHLly9HlixZTL4PaO8vzZgxA0+ePEGGDBkwYMAARd5f0O4DGzduRK5cubB8+XJF7QOApj+8evUKbdq0QVhYGEaMGIF69erJ1heMOlxI4v79+8k3b/39/VGmTBlF7ViSJGHevHmYM2cO0qZNi3Xr1iFjxoyKaQOSuHr1Krp37w61Wo1Zs2ahXLlyJr/9SUlJOHjwIJYsWYKoqCiUKlUKvXr10tsrkA2ZJElYsGABZs+ejTRp0mDt2rWK2ge0Pn/+jHbt2iEwMBBNmjTBwIEDZb16NepwCQkJQdu2bfH+/Xv4+fkp6uYtoDmwrlu3DsOHD4e9vT1WrFihqNlx2jO1Vq1aISQkBEOHDkWLFi1MevtJIjIyEgEBATh48CAsLS3RqlUrNG7cGNbW1ia97d9CEps3b8bQoUNhZ2eH5cuXo1ChQoprh7i4OPTu3RsnT55EmTJlMHfuXNnvtxltuMTFxaFHjx64cuUKqlativHjxyvi5q0WSezevRs9evQAAMydOxeVK1dWzE715c3bwMBANG3aFEOHDjXp+wza5XymT5+Oe/fuIW3atOjVqxeKFy+uuJvWgKY9Dh8+jG7duoEkZs+ejapVqypmH9BKSkrC+PHjsW7dOmTPnh0rV640iOfajPJorFarMWXKlOSVjpcsWaKoG/gkcfz4cbRv3x7x8fGYPn06mjVrpqidSjuH/9SpUyhXrpxBnKnpkyRJuHLlCmbMmIHg4GAULlwYffv2Rbp06RT1d9fSvviuTZs2iIqKwsSJE03+qvVbJEnCokWLMH36dLi7u2P16tUGc7/R6MJFexk8adIkuLq6YtWqVUifPr1BNGZK0D4k2bx5c0RERGDUqFHo0qWLos5cv3z/eZ48ebB69WqDOFPTF7VajX379mHx4sVISEhAnTp10L59e0U9v/Ilkrhx4waaNm2K4OBgDBo0CL169TLpq9ZvIYmNGzdi8ODBsLGxwdKlS1G8eHGD6RNGFS7asxXtUNC8efNQrFgxg2lMfSOJs2fPokmTJggJCcGgQYMwcOBARQ0HJiUlYeLEiVi4cCHSp0+P9evXm/TN28TERKxfvx7r1q2DhYUFunfvjpo1ayrqb/4l7SocDRs2xNu3b9G9e3eMGDEClpaWcpeWorTD4t27dwdJzJ07FzVq1DCo/cBoeihJPH/+HK1bt0Z4eDhGjRqFhg0bGlRj6pN2AbqmTZvi06dP6NevH0aOHKmonUqtVmPu3LnJV61r1qxB/vz5TbYPJCQkYOnSpdi2bRscHBwwYMAAlC5dWlFXqV/Szg5t0KABXrx4gfbt22Py5MmKfJblyJEj6NChA+Li4jBlyhQ0b97c4PYDowgXkggODkaLFi3w5MkTtG7dGoMGDVLMZbD2Hkvz5s0REhKC/v37Y8yYMYpb5Xjp0qXJs4JWrFhh0lOO4+PjsWjRIuzevRuurq4YPnw4ChQoYLLb+1+0VywNGjTAkydP0KpVK8yaNQu2trZyl5aitMeCli1bIiIiAmPGjEG3bt0M8oTD8Cr6hpiYGHTu3BkXLlxApUqV4O/vr5izFZLYv38/mjZtitDQUAwePFiRwbJy5Ur07dsXlpaWWLx4scENAehSQkJCcrC4u7tj3Lhxig+WGzduoF69enjy5AlatmyJefPmKWoSD6Bph6NHj6J58+YIDw/H0KFDkxfnNEQGHy7x8fEYMGAAdu7ciT/++AOrVq1SzJO3kiRhy5YtaNGiBT5//ozhw4dj5MiRigoWtVqN5cuXw8/PDyqVCvPnz0eDBg1M9kCbkJCAgICA5GAZO3asola1/iuSOH/+POrWrYvnz5+jXbt2mD9/viKDZe/evWjevDnCwsIwZMgQDB061KCHxQ06XBITEzFu3DgEBAQgQ4YMWL9+vWKmXmoPqu3bt0dcXBwmTpxo8J1J15KSkrBgwYKvgqV58+YGOQSgC0lJSVi1ahV27NgBNzc3jBkzBjly5FBEf/8Wkjh48CDq16+Pd+/eoVu3bpgzZ47igkWSJGzcuBGtWrVKniE6bNgwgz8WGOxempSUhBkzZmDKlClwc3PD+vXrkSdPHkXsaNr3kPj5+QEAZs+ejd69exvs5a8+JCYmYurUqRgwYEDye2latmxpssGiVquxadMmbNq0Cc7Ozhg5ciRy5sypiP7+LWq1GuvWrUOzZs0QFhaGQYMGYdq0aYq7x6I9werUqRMSEhIwefLk5Hc1GTqDPFolJSXB398fo0aNgqOjI9asWYPSpUsrYkeLi4vDuHHjMG3aNDg4OGDhwoVo2LChyR5U/4okYmNjMWLECMydOxdOTk5YunQpateubbJtIEkS9uzZg1WrVsHe3h7Dhg1T5OKTWgkJCZg1axbGjBkDlUqFSZMmoWfPnkZxQNUVkoiLi8PYsWMxa9Ys2NjYYN68eWjRooXRTGQyuHBJTEzEtGnTMGbMGNjZ2WHVqlWoUqWKye9oJBEdHY3+/fsnv39h5cqVith2LZIICQlBjx49sGXLFqRLlw6rVq2Ct7e3ybaBdvbPokWLYGlpiQEDBqBw4cImu73/Rrtu2pAhQxAQEAAnJyfMmTMHTZo0MZoDqi5oZ8f27NkT27ZtQ+rUqREQEIDq1asb1QmWwYSLNqnHjBmDGTNmwMnJCStWrEDNmjVNfkcjidDQUHTp0gXbt29HpkyZsG7dOpQsWdLkt11Lu3x8+/btceHCBeTJkwdr1qwx6YU4SeLixYvw9/cHSfj5+SnmCv2vSOL169fo3LkzDh8+jAwZMmDFihWoUKGCotqDJO7du4eOHTvi8uXLyJMnD1asWIEiRYoYXTsYRAxqD64dO3bEtGnT4O7ujk2bNqFWrVpG16A/SrtTNWjQANu2bUO+fPmwZ88eRQWLJEk4cOAAqlWrhosXL8LHxyf59aym2gba5zamTp2K+Ph4dOzYEZUrVzaqM1Nd0c4Iq1atGg4dOoRixYph//79igsWtVqN7du3o1q1askL8u7fv98ogwUwgHDR7mQ1a9ZMXtVz9+7dqFSpklE26I8giZs3b8LX1xenTp1C+fLlsWfPHsVMXNAOBU6YMAGNGjXC+/fv0bVrV2zZssWkl3QhiadPn2L8+PGIiIhA06ZNUbduXUUGi3bqde3atfHo0SM0bdoUe/bsQe7cuU327/9XJPH582cMGTIk+fURvXv3xqZNm4x63UTZhsW07/1et24dhgwZgqCgIPj4+CAgIACZM2c22gb9XpIkJa8N9OHDBzRs2BALFiyAm5ubyW87oPn7P3r0CH369MHhw4fh4uKCmTNnom3btiZ945Yk3r59izFjxuDTp0+oU6eOUd2k1RXtfYUhQ4Zg9erVsLa2xrhx49CnTx9FvZdGe4LZu3dvnDt3DqlTp8b06dPRqFEjo58dKkv12vH14cOHY9euXbC0tET//v0xfPhwODo6mnTH0s6GmjlzJiZPnoykpCT0798fo0aNgq2trUlvO6DZ/oSEBKxbtw4jRozA+/fvUbRoUcyfPx9FixY16e0niaCgIIwZMwZv375F5cqV0alTJ0U9FAtoTqwuXLiAnj174ubNm8iSJQvmzZuHqlWrKubqjSRiYmIQEBCAiRMnIiwsDOXLl8ecOXOQN29ek9gPUjRctDvXokWLMG/ePAQHByN37tyYPn06qlatavJnb9rhkL59+2L//v1wcXHB1KlT0apVK6M/S/keJPHgwQMMGzYMe/fuhZWVFXr16oURI0bA1dXVJHaof6K9rzh27Fg8efIEZcqUgZ+fn2KWMQL+d0CdO3cuJk+ejKioKNSqVQv+/v6KGK3QkiQJ169fx+DBg3Hq1CnY29tjxIgR6Nu3LxwcHEymHVLkiEYS79+/x9q1a7Fo0SI8f/4czs7O6N+/PwYMGAAPDw+TadBv0V6trF+/PvmstWDBgliwYAFKlChh0tsOaLY/PDwcixYtwqxZsxAcHIy8efNi6tSpqFKliiJOKsLDwzFu3Djcv38fRYsWxcCBAxX1PhbtvdV+/frh+PHjcHR0xKRJk9C9e3dFXLED/xsK9Pf3x8KFCxEREYHixYtj2rRpKFWqlMldtek1XOLi4nDnzh2sWbMG27Ztw7t372BnZ4cmTZpg8ODByJ8/v8k16F/FxcXhxIkTmDJlCs6dOwcrKyt0794do0aNQqpUqUx+p4qNjcWuXbswceJE3Lt3D46Ojhg0aBD69euniO0HkBwst27dwh9//IGhQ4ea/PDvl6KjoxEQEIBJkyYhJCQExYoVg7+/v6JezxwTE4Pt27djwoQJePToEVKlSoVx48ahW7ducHJyMsm+oLdw+fjxIypXroyrV68iLi4Orq6uaNWqFXr06IFChQrB3NzcJBv0Sx8+fEC1atVw4cIFqNVqFCtWDGPHjkXFihVN/mwdAN6/fw9fX1+cOXMGZmZmqFGjBkaPHo1ChQop5qASGRmJcePG4caNG8iXLx9GjhwJFxcXk+/7Wh8+fEDt2rWTh3+GDBmC/v37w9nZWVFtUKtWLZw5cwbm5uaoX78+Ro0aZfKzQvUWLs7OzoiOjkaOHDnQqFEjNG7cGFmyZIGZmZlJN+iXtG2QP39+9OjRAw0aNIC9vb2itj8qKgqFCxfGkCFDUL16dVhZWSlm+wHN+Hp8fDzy58+PkSNHKmY2oJa9vT2io6NRvHhxTJ06VZEvO3NyckJ0dDSKFCmC4cOHo3LlyrC0tDT5fqC3cLl79y7at28Pd3d32NnZ4cGDB3jw4IG+vu6nREVFITExUW+ff//+fbRq1QqpU6eGnZ0dTpw4obfv+ln6bIMHDx6gZcuW8PDwgLm5OQ4fPqyX7/kV+u4DHz58SF6249GjR3r7nl8RGxuLpKQkvXz2o0eP0KJFC7i5uSEsLAz79u3Ty/f8Cn33gQcPHqBFixZwd3eHJEk4dOiQ3r7rZ0VHR+u8DVQkqdNPBBAWFoZr167p+mP1In369HpZfVbpbaD07Qc0Q2KGGih/5eHhgQwZMog+II4DOmsDvYSLIAiCoGzKGvwUBEEQUoQIFyMhSRKUfJFJUvFtEBwcjI8fPyq2DUQfMK42MIpwOX78ePJrbpXo6NGjMDc3x4IFC+QuRTbPnz+Hk5MTunfvLncpsnj37h1atGiBDRs2mPwso38SFRWFrFmzwtvbG5IkyV1OiouMjETWrFnh4+NjFOECGolu3brRzs6OT548kbuUFPX582dmzJiR3t7eVKvVcpcjq/nz5xMAjxw5IncpKUqtVrNnz55s0qQJY2Ji5C5HVseOHSMAzpkzR+5SUlyXLl3o4ODAZ8+eyV3KdzGacImMjGSWLFlYrlw5RR1kO3bsSAcHBz5//lzuUmSnVqtZsWJFZsyYkZ8/f5a7nBSzZcsWenl58ebNm3KXYhC6d+9OW1tbPn78WO5SUsyhQ4eoUqm4cOFCuUv5bkYTLiR58uRJAqC/v7/cpaSIgwcPEgAXLVokdykG4/nz53RwcGDHjh3lLiVFvHr1ilWqVFHkmfo/iYyMZNasWVm2bFlFnGiGh4czY8aMrFy5MiVJkruc72ZU4UKSPXv2pK2tLR89eiR3KXoVHh7O9OnT08fHx6g6VEpYtGgRAfDgwYNyl6JXarWa3bt3Z9OmTRkbGyt3OQZFe6I5a9YsuUvRuw4dOtDJyYkvXryQu5QfYnThEhUVxWzZsrFMmTJMSkqSuxy9adeuHR0dHY2uQ6UESZLo4+PD9OnTMzw8XO5y9GbTpk2sUKECb926JXcpBsnPz482NjYMDAyUuxS9OXDgAFUqFQMCAuQu5YcZXbiQ5OnTp6lSqThjxgy5S9GLffv2EQCXLFkidykG6+XLl3R0dGS7du3kLkUvXr58ycqVK3PevHlyl2KwoqKimD17dpYqVcokTzTDwsKYPn16Vq1a1ShHL4wyXEiyT58+tLGx4YMHD+QuRadCQ0OZLl06o+1QKWnp0qUEwH379sldik6p1Wp26dKFLVq0EMNh/+HMmTNUqVScNm2a3KXoXNu2bens7MxXr17JXcpPMdpwiY6OZo4cOViyZEmTOmtp3bo1nZ2d+fr1a7lLMXiSJLFatWpMly4dQ0ND5S5HZ9avX88KFSrwzp07cpdiFPr27Utra2uTOtHcu3cvVSoVly9fLncpP81ow4Ukz507R5VKxalTp8pdik7s3r2bAIy6Q6W0169f09nZma1bt5a7FJ14/vw5fXx8uGDBArlLMRoxMTHMkSMHixcvzsTERLnL+WXa0QtfX1+jHr0w6nAhyf79+9Pa2pr37t2Tu5RfEhISwrRp07JGjRpG3aHksGLFCgLg7t275S7llyQlJbFz585s2bIl4+Li5C7HqJw/f55mZmacPHmy3KX8slatWtHFxYVv3ryRu5RfYvThEhMTw1y5crFYsWJGfdbSvHlzk+hQcpAkib6+vkybNi1DQkLkLuenrV27lt7e3rx//77cpRilAQMG0MrKinfv3pW7lJ+2c+dOqlQqrlq1Su5SfpnRhwtJXrx4kWZmZpw4caLcpfyUHTt2EABXr14tdylG6+3bt3RxcWHz5s3lLuWnPHv2jJUqVeLixYvlLsVoxcbGMleuXCxatKhRnmgGBwczbdq0rF27tkmMXphEuJDkoEGDaGVlZXQ3QT99+sTUqVOzVq1aJtGh5LR69WoC4I4dO+Qu5YckJiayY8eObN26NePj4+Uux6hdunSJZmZmnDBhgtyl/LDmzZvTzc2N7969k7sUnTCZcImNjWWePHlYpEgRJiQkyF3Od2vSpAldXV1NpkPJSZIk1q5dm6lTp+anT5/kLue7rV69mt7e3iY120lOgwcPpqWlJW/fvi13Kd9t27ZtVKlUXLt2rdyl6IzJhAtJXr58mebm5hw3bpzcpXyXrVu3EgDXrVsndykm4/3793Rzc2OTJk3kLuW7PHnyhJUqVeLSpUvlLsVkxMXFMW/evCxUqJBRnGgGBQUxderUrFu3rkmNXphUuJDksGHDaGlpafAryAYFBdHDw8PkOpQhWLduHQFwy5YtcpfyrxISEti+fXu2adPGKA6CxuTKlSs0Nzfn2LFj5S7lPzVu3Jju7u788OGD3KXolMmFS1xcHPPly8eCBQsa9A7bsGFDpkqVyuQ6lCGQJIl169alh4cHg4KC5C7nH61YsYLe3t4mvTaWnIYNG0YLCwveuHFD7lL+0ebNm6lSqbhhwwa5S9E5kwsXkrx27RrNzc05evRouUv5pk2bNhEAN27cKHcpJuvDhw9MlSoVGzZsKHcp3/To0SNWrFhRPDCrR3FxccyfPz8LFChgkBMlPn78SA8PDzZo0MAkRy9MMlxIcuTIkbSwsOD169flLuUr2oOeqXYoQ6IN8U2bNsldylcSEhLYtm1btmvXzqCvrk3BtWvXaGFhwZEjR8pdylckSWKDBg3o4eHBjx8/yl2OXphsuMTHx7NAgQLMnz+/wZy1GMtwjSlp0KCBwQ0/Ll26lBUrVlTUmxTlNGrUKFpYWPDatWtyl5Jsw4YNVKlU3Lx5s9yl6I3JhgtJ3rx5kxYWFhw+fLjcpZDULEgIgFu3bpW7FMUwtIkTDx8+pLe3N1euXCl3KYoRHx/PggULMn/+/AaxrM779++ZKlUqo5nR+LNMOlxIcsyYMTQ3N+fVq1dlrePdu3d0dXVl48aNZa1DibRTvtevXy9rHQkJCWzdujU7dOhglE+QGzPtieawYcNkrUOSJNapU4dp0qQxqmexfobJh0tCQgILFSrEvHnzynbWYqwP95kSQ3hYNSAggJUqVeLTp09lq0HJxo4dS3Nzc165ckW2GtauXUuVSsXt27fLVkNKMflwIcnbt2/T0tKSQ4YMkeX716xZQwCK6FCGSu5ldu7fv09vb2+xfpyMEhISWLhwYebJk0eWE823b9/Szc3NaNe/+1GKCBeSnDBhAs3MzHjp0qUU/V5jX1DRlGzfvl2WBULj4+PZsmVLduzY0aRebGeM7ty5Q0tLSw4ePDhFv1eSJNaqVYu//fYbg4ODU/S75aKYcElMTGTRokWZO3fuFHt1rKksBW9KtK82ePv2bYp956JFi+jj48Pnz5+n2HcK/0x7onnx4sUU+85Vq1ZRpVJx165dKfadclNMuJDk3bt3aWVlxYEDB6bI92lfYqWkDmXotC9lS6m3/N29e5fe3t5i/TgDoj3RzJUrV4qcaL5584YuLi5s1aqV3r/LkCgqXEhy8uTJNDMz4/nz5/X6PdrX7yqtQxkD7eukV6xYodfviYuLY4sWLdilSxcxHGZg7t27RysrKw4YMECv3yNJEmvUqMF06dIxNDRUr99laBQXLomJiSxRogRz5MjBmJgYvXyHJEmsVq2aIjuUsWjVqhWdnJz4+vVrvX3H/Pnz6ePjwxcvXujtO4SfN2XKFKpUKp47d05v37Fs2TKqVCru3btXb99hqBQXLiT54MEDWltbs2/fvnr5/KVLlxIA9+3bp5fPF35daGgo06VLx6pVq+pleOz27dusUKGCWD/OgCUlJbFEiRL09PRkdHS0zj//1atXdHZ2Ztu2bXX+2cZAkeFCktOmTaNKpeLZs2d1+rkvX76ko6OjYjuUMdm3bx8B6PxdKrGxsWzWrBm7detGtVqt088WdEt7otmnTx+dfq4kSaxatSrTp0/PsLAwnX62sVBsuCQlJbFUqVLMnj27zs5aJEli5cqVFd2hjE3btm3p6OjIly9f6uwz586dy8qVK/PVq1c6+0xBf6ZPn06VSsUzZ87o7DMDAgKoUql44MABnX2msVFsuJBkYGAgbWxs2KtXL5183uLFiwmABw8e1MnnCfoXFhbG9OnT08fHRyfDYzdv3qSXl5dJL0hoapKSkli6dGlmz56dUVFRv/x5L168oKOjIzt27KiD6oyXosOFJGfNmkUAPHXq1C99zvPnz+ng4KD4DmWMDh48SABctGjRL31ObGwsmzZtyh49eojhMCMTGBhIW1tb+vn5/dLnSJJEHx8fZsyYkZ8/f9ZRdcZJ8eGiVqtZtmxZZs2a9afPWtRqNStWrCg6lBHr2LEjHRwcfulBR39/f1apUoVv3rzRXWFCitGeaJ48efKnP2PhwoVUqVQ8fPiwDiszTooPF5J8/PgxbW1t2aNHj5/6/QULFhAAjxw5ouPKhJTy+fNnZsyYkRUrVvypq47r16/Ty8tLvE7BiKnVapYrV45Zs2ZlZGTkD//+s2fP6ODgwC5duuihOuMjwuX/zZkzhwB4/PjxH/q9p0+f0t7eXnQoE3DkyBEC4Pz583/o96Kjo9m4cWP6+fmJ4TAj9/jxY9rZ2bF79+4/9HtqtZre3t7MnDkzIyIi9FSdcRHh8v/UajW9vLyYOXPm7z5r+fJ3RIcyDV26dKGdnd0PLYs/Y8YMVq1aNUXXKxP0Z+7cuQTAY8eO/dDvqFSqH/odUyfC5Qvaq5CuXbt+18//7NWOYLgiIiKYOXNmenl5fddVyNWrV+nl5cUdO3bovzghRajValaoUIGZMmX6rpPGJ0+e0N7e/oevdkydCJe/mD9//t/un0iSxE+fPvH58+f89OkTJUn66ctnwfAdP36cADhnzpzkf/tWH4iKimKjRo3Yu3dvMRxmYr413P2tPqBWq1m+fPmfvk9jylQkCSGZJEmoXLkynjx5gjNnzmDHjh2YO3cunj59mvwzWbNmTf7ZO3fuwMHBQa5yBT3p0aMHli9fjrNnz+LMmTN/6wPZsmVD3rx5ER0djbVr1yJt2rQyVivow8KFC9GtWzds374dr169+mYf+OOPP7Bz506cOHECXl5eMlZreES4fMOLFy+QJ08eJCYmQq1WAwC+1Uw2NjbYuXMnqlatmtIlCnoWFRWFHDly4OPHj5AkCSqV6pt9wNraGrt27RJ9wARJkoQiRYrg1q1bIPmPfcDCwgJ79+4VfeAvzOQuwBAFBgYiLi4OSUlJoGbo8Js/l5CQAF9fXxw6dCiFKxT07dy5c8nBAnz75AIQfcCUHTlyBLdv307+2/9TH1Cr1aIPfIO4cvmL8PBwpE+fHjExMf/Ymb5kZmYGW1tbvHnzBi4uLvovUNA7bR+IjY1NDpd/I/qA6RF94NeJK5e/WLVq1XcHC6C5dI6JicHq1av1XJmQUrR94HsOKoDoA6ZI9IFfJ65cvkASnp6eePbs2XeHCwCoVCpkzZoVjx8/hkql0mOFgr6JPiCIPqAbIly+EBwcDA8Pj1/6/VSpUumwIiGliT4giD6gG2JY7AtRUVG/9PuRkZE6qkSQi+gDgugDuiHC5Qu/+ryKeN7F+P3q39DR0VFHlQhyiIiIwPHjx3/pM0Qf0BDh8oVUqVIhW7ZsPz1eWqRIEXTv3h0HDhxAXFycjqsTUoKFhQVcXV1/6nezZcsGNzc3HVck6NvTp0/h7+8PHx8fuLu7o3379rCysvrhz1GpVKIPfEGEyxdUKhV69uz5U7/btWtX/Pnnn9i/fz9q1KiBVKlSoU6dOli6dCnev3+v40oFXQsPD8fYsWORNWvWnx4WMTMzw5kzZ3RcmaBrSUlJOH36NAYMGIDcuXMje/bsGDRoECwsLDBz5kw8f/4cU6dO/amTTD8/P3EzXyuFlpkxGmFhYbS3t6dKpSKA//zPzMyM9vb2DAsLI6lZf+ju3bucPHkyy5YtSzMzMwJgkSJFOHr0aF69elUnr9MVdCMsLIyjR4+mi4sLbW1t2bt3b96/f5/29vbJf7v/+k+lUtHa2pr58+cnAFaoUIEnTpyQe9OEL4SGhnL9+vVs2rQpXVxcCIBp0qRhu3btuH379r+tC6Y9DnxvH/jrcUAQC1d+0969e7+7Q5mbm/PQoUP/+FmfPn3imjVr2LhxYzo7OxMA06VLx44dO3LXrl06eWe38ONCQ0M5cuRIOjs7087Ojn379uW7d++S///Bgwdpbm7+nweXL/uAJEncuXMnCxUqRAAsX748jx8/Lk4mZCBJEh88eMBp06axfPnyNDc3JwAWKlSII0aM4KVLl/5zsdHv7QMqleo/jwNKJMLlG8aMGUMzMzPa2NhQpVL97SpG+2/29vY/1KESEhJ4/Phx9u3bl56engRAGxsb1qhRgwsWLODLly/1uFUCSYaEhHDEiBHJodKvXz++f//+mz978ODB5KvYH+kDkiRx9+7dLFy4MAGwXLlyPHr0qAgZPYuPj+fRo0fZu3dvZsuWLXn/qlmzJhctWsTXr1//8Gf+Wx/48r/NmzfrYYuMmwiXv7hx4wYtLCw4fPhwhoWFcfbs2ckdVftftmzZOHv2bIaHh//SdwUGBnLGjBn09vZOPrMqUKAAhw0bxgsXLohl3HUoODiYw4YNo5OTE+3t7TlgwAB++PDhP3/vV/qAJEncs2cPixYtSgAsU6YMDx8+LEJGh4KCgrhq1So2aNCAjo6OBMDff/+dnTt35p49exgdHf3L3/FvfWDcuHF0dXVl48aNdbA1pkWEyxfi4+NZoEAB/vHHH4yPj0/+d0mSGBwczOfPnzM4OFgvB4ewsDBu3LiRLVq0oJubGwHQw8ODbdq04datW/n582edf6cSfPr0iUOGDKGjoyMdHBw4aNAgfvz48Yc/51f6gCRJ3LdvH4sXL04ALFWqVPIwmvBjJEni7du3OXHiRJYqVSr5aqJ48eIcO3Ysr1+/rrd2/ac+sGHDBnH18g0iXL4wcuRIWlhY8Pr167LWkZiYyDNnznDQoEHMmzcvAdDS0pKVK1fm7Nmzf+gVvEoVFBTEwYMH08HBgQ4ODhw8eDCDgoJkrUmSJB44cIAlSpQgAJYsWZIHDhwQIfMfYmNjeeDAAXbv3p2ZMmUiANrb27Nu3bpctmzZPw5rphRJkli/fn26u7v/1ImLqRLh8v+uXbtGc3Nzjh49Wu5S/ubp06ecM2cOq1SpQktLSwJgnjx5OHDgQJ4+fZqJiYlyl2gwPn78yIEDB9LBwYGOjo4cOnQoP336JHdZX5EkiQcPHmSpUqUIgCVKlOC+fftEyHzh3bt3XLp0Kf/880/a2dkRADNlysQePXrw4MGDjIuLk7vEr3z8+JHu7u6sX7+++Dv+PxEuJOPi4pg/f34WLFiQCQkJcpfzryIiIrht2za2bduWqVOnJgC6ubmxefPm3LBhA0NDQ+UuURYfPnxg//79aW9vTycnJw4fPpzBwcFyl/WvJEni4cOHWaZMGQJgsWLFuHfvXkUenCRJ4rVr1zhmzJjke1RmZmYsU6YMJ02axLt37xp8u2zevJkAuHHjRrlLMQgiXEgOGzaMlpaWvHnzptyl/BC1Ws2LFy9y+PDhLFiwIAHQ3NycFSpU4PTp0/nw4UO5S9S79+/fs1+/frSzs6OzszNHjBjBkJAQucv6IZIk8ejRoyxbtiwBsGjRoty9e7fBH0x/VXR0NHfv3s2OHTsyXbp0BEAnJyc2atSIq1evNrgrzu/RqFEjurm5yT5UZwgUHy6XL1+mubk5x40bJ3cpv+zVq1dcuHAhfX19aWNjQwD09PRknz59eOzYMYO/KvsR7969Y58+fWhra0tnZ2eOGjXK6K/aJEnisWPHWL58eQJg4cKFuWvXLpMKGW0frVGjRnIfzZ49u8n00U+fPjF16tT8888/Terv9jMUHS6xsbHMkycPixQpYvSd+q+0Z4WdOnUymbNCknz79i179+5NW1tburi4cPTo0UYfKt9y4sQJenl5JT/4t2PHDqM8WH15dV2gQIG/XV0HBgbKXaLObd++nQC4du1auUuRlaLDZdCgQbSysuKdO3fkLkWv/ms8+86dOwZ/4Hrz5g39/PxoY2NDV1dXjhkzRhFLbZw8eZLe3t7Jz0Bt27bN4J9/0t4XbNOmTfJ9QVdX1+T7gkr4uzVt2pSurq5frfqgNIoNl4sXL9LMzIwTJ06Uu5QUp52JU6dOneSZOJkzZzbImTivX79mjx49aGNjQzc3N44bN+6XH141RqdPn2alSpUIgH/88Qe3bt1qUCHz7Nkzzpkzh5UrVxYzGql5aDdNmjSsVauWwZ+46YsiwyUmJoa5cuVisWLFFNfp/+rLZwgyZsxoMM8QvHr1it27d6e1tTVTpUrF8ePHiwdJSZ45c4Y+Pj4EwHz58nHz5s2yhMyXz2LlyZPnb89iPXnyJMVrMjQ7d+4kAK5atUruUmShyHDp378/ra2tee/ePblLMShyPv2s9fLlS3bt2pVWVlZ0d3fnxIkTGRERodfvNEbnzp1jlSpVCIB58+blxo0bmZSUpNfvFKtI/LiWLVvS2dmZb968kbuUFKe4cDl37hxVKhWnTp0qdykGT7tuU8OGDb+5blNMTIzOvuvFixfs0qULrays6OHhwcmTJ4tQ+Q7nz59ntWrVCIC5c+fmhg0bdBoyX65/Z2FhIda/+0GhoaH87bffWL16dcUNjykqXKKjo+np6cmSJUvq/SzP1HxrxVlbW9tfWnGWJJ8/f85OnTrRysqKqVOn5pQpU/72bg3hv128eJHVq1cnAObKlYvr1q37qT7+rZW7ra2txcrdv0D7Co/ly5fLXUqKUlS49OnThzY2Nop4uFCfvnxXhpeX10+9K+Pp06fs0KEDLS0tmSZNGk6bNk2820YHLl26RF9fXwJgzpw5uWbNmv+8rxgcHPy3dw799ttv4p1DOtSmTRs6OTnx1atXcpeSYhQTLqdPn6ZKpeKMGTPkLsXkhISEcP369WzWrBldXV3/9S1/T58+Zfv27WlhYcG0adNyxowZOlkWXfjalStXWKtWreQHaVevXp0cMl++LbVMmTLJL8MqWrRo8ttSxXCXboWFhfH3339nlSpVFDM8piJJmLjo6GgUKFAAadOmxalTp2Bubi53SSYrKSkJ58+fx969e7Fnzx48fPgQVlZWKFGiBBISEnD16lWkTp0aAwYMQOfOnWFnZyd3ySbt2rVrGDt2LHbv3o106dIhT548ePLkCV68eAE7OztUrlwZNWvWhK+vL3777Te5yzVpBw8eRPXq1REQEICOHTvKXY7+yZ1uKcHPz4+2trZ89OiR3KUozpEjR1isWLGv3uKXN29eDh48mGfPnhX3vvTow4cPXL58OevVq0dbW9vk9ndycmLv3r3FhAkZtG/fno6Ojnzx4oXcpeidyYfLyZMnCYD+/v5yl6IogYGBbNWqFc3Nzfn7779zzpw5/PDhA7ds2cLWrVvT3d2dAJgqVSq2bNmSmzZtUuTDkbokSRJv3LjBcePGJb+YTKVSsVSpUpwwYQJv3brF69evs169egTArFmzctmyZSa39JEhCw8PZ4YMGVipUiWTHx4z6XCJjIxklixZWK5cOTGGnEIePHjAFi1a0NzcnOnTp+fcuXMZGxv7t59LSkri+fPnOXToUObPn58AaGFhwYoVK3LmzJniKvM7xcTEcO/evezSpQvTp09PAHR0dGSDBg24cuXKf3xB2q1bt1i/fn0CYJYsWbhkyZKv3r4q6M/hw4cJgAsXLpS7FL0y6XDp1q0b7ezsxNPCKeD+/fts1qwZzczMmCFDBs6fP/+HlpF58eIF58+fz2rVqtHKyip5tlO/fv144sQJcXb9hTdv3nDx4sWsWbNm8nBX1qxZ2atXLx45cuSHQuL27dts2LAhVSoVM2XKxMWLF4uQSQGdO3emvb09nz17JncpemOy4XLs2DEC4Ny5c+UuxaTdu3ePTZs2pZmZGTNmzMiFCxf+8tpkkZGR3LlzJ9u3b8+0adMSAF1cXNikSROuXbvW6N7X8qvUajUvX77MkSNHsnDhwskLj5YvX55Tp07l/fv3f3mI5e7du2zcuDFVKhUzZszIRYsWiZDRo4iICGbKlIkVKlQw2VEVkwwXJfzh5Hbnzh02btyYZmZmzJQpExctWqSXBS/VajWvXLnCUaNGfXVgLVeuHKdMmaKTA6shioyM5I4dO/4WsE2bNuW6dev0FrD37t1jkyZNqFKpmCFDBi5YsMCgFjI1JUePHiUAzps3T+5S9MIkw0UJl5xy+XIYJUuWLAwICEjRM9w3b94wICCAtWrV+mpIyM/Pj4cPHzbqs+0XL15w3rx5rFatGq2trZOftu/fvz9PnjyZokODXw5zpk+fnvPmzfvmvTPh15jy0L3JhcuhQ4cUcbMspd26dYsNGjRIDpWlS5fKfh8kJiaG+/btY9euXb+6mV2/fn2uWLGCHz9+lLW+/5KUlMRz585xyJAhX01qqFSpEmfNmsXHjx/LXSIfPnzIFi1a0MzMjL///vs/TtAQfo4pTzoyqXDRTvPz8fExyaESOdy4cYP16tWjSqVitmzZDHbqqiRJvHnzJsePH88SJUpQpVJRpVKxZMmSHD9+PG/evGkQfSI8PJybN29mq1atkqdju7u7s1WrVty8ebPBTscODAxky5YtaWZmxnTp0nH27Nk6XbhUyUz1cQmTCpcOHToo5gElfbt+/Trr1KlDlUrF7Nmzc8WKFQYZKv/kw4cPXLFiBevXr08HBwcCYIYMGdi1a1fu27cvRc++Hz9+zFmzZrFSpUrJKwvnz5+fQ4YM4blz54zqQdJHjx6xdevWNDc3Z9q0aTlr1iwRMjrQs2dPk3vQ22TC5cCBAwTAgIAAuUsxalevXuWff/5JlUpFT09Prlq1yuhfqBYXF8fDhw/Tz8+PWbJkIQDa2dmxdu3aDAgI4Nu3b3X6fYmJiTx58iT79+/PnDlzEgCtrKxYrVo1zps3j8+fP9fp98nh8ePHbNu2bXLIzJw5U6wR9wuioqKYLVs2lilTxqhONv6NSYSLEheF0zXtQocqlYo5c+b8aqFDUyJJEu/du8cpU6awbNmyyYs2FilShKNGjeKVK1d+auw7JCSE69atY9OmTeni4pK8eGf79u25Y8cOk32NwJMnT9iuXTuam5szTZo0nD59ulhF+SeZ2uK6JhEuSlzOWle0S7SrVCrmypWLa9euNZkzp+8RHBzMtWvXskmTJl8tN9+hQwfu3LnzHw+UkiTx/v37nDp1KsuXL5/82oHChQtz5MiRvHz5ssndoP03z549Y4cOHWhhYUEPDw9OnTpVhMxPMKXXghh9uGhfxLNs2TK5SzEqFy9eZI0aNahSqZg7d26uX79eUaHyLQkJCTxx4gT79u3LHDlyJL8oq3r16pw/fz4fP37MI0eOsFevXsyaNWvyC9Nq1arFxYsXK/JVtn+lffmbNmTEy99+jCm90NCow0XJrxD9WdrX4qpUKubNm1fnr8U1JYGBgRw7dixz58791arOjo6OrFu3Lnft2iXuM/yDFy9esHPnzrS0tKS7uzsnTZokVmH+TqbyKnajDpeWLVvS2dlZnDF+h7Nnz7JKlSpUqVTMly8fN23apKhhm+8lSRJv3brFCRMmsFSpUsmhUrhwYTZq1Ii+vr50c3MjAHp4eLB169bcunUrP3/+LHfpBunly5fs2rUrrays6ObmxgkTJoi2+g79+/entbU17927J3cpP81ow2Xnzp0EwFWrVsldikE7c+YMK1euTJVKxfz583PLli0iVP4iNjaW+/fvZ7du3ZgxY0YCoIODA+vVq8fly5fzw4cPX/18UlISz549y0GDBjFv3rwEQEtLS/r4+NDf359Pnz6VaUsM16tXr9itW7fkkBk/frwImX8RExPDXLlysVixYkY7scYowyU4OJhp0qRhzZo1xXDYPzh16hQrVapElUrFAgUKcOvWrSJUvvDu3TsuWbKEf/75J+3s7AiAmTNnZs+ePXno0KEfWk/r2bNnnDt3LqtUqZK8onPu3Lk5YMAAnj592mgPDvrw+vVr9ujRg9bW1nR1deXYsWMN9sFRuV28eJFmZmacOHGi3KX8FKMMF+272nX9fIIpOHHiBL29valSqVioUCFu375dhAo1w11Xr17l6NGjWbRo0eQFMMuWLcvJkyfz7t27OjlRiYiI4Pbt29m2bVumTp2aAOjq6spmzZpx/fr1DA0N1cHWGL83b97Qz8+P1tbWdHFx4ejRoxkWFiZ3WQZn0KBBtLKy4p07d+Qu5YcZXbhs27aNALh27Vq5SzEYkiTx+PHjrFChAlUqFQsXLsydO3cq/qouKiqKu3btYseOHZkuXToCoLOzMxs3bsw1a9bw06dPev1+tVrNS5cuccSIESxYsCAB0NzcnF5eXpw2bRofPnyo+L/R27dv2atXL9rY2NDZ2ZmjRo0SIfOF2NhY5smTh0WKFDGqFTJIIwuXoKAgenh4sE6dOorfKUlNqBw9epTly5enSqVikSJFuGvXLkW3zcuXL7lgwQLWqFGDNjY2BEBPT0/27duXx48fl3UHff36NRctWkRfX9/k2rJnz87evXvz6NGjRr2i86969+4d+/TpQ1tbWzo5OXHEiBGKe2/PP7l8+TLNzc05btw4uUv5IUYVLo0aNWKqVKn+doNVaSRJ4pEjR1i2bFmqVCoWK1aMe/bsUWSoqNVqXrhwgcOGDWOBAgWSrw68vb05Y8YMBgYGyl3iN0VHR3PPnj3s1KlT8lWVk5MTGzZsyFWrVun9qspQvX//nv369aOtrS0dHR05bNgwETIkhw0bRktLS966dUvuUr6b0YTL5s2bCYAbNmyQuxTZSJLEQ4cOsUyZMlSpVCxevDj37dunuFD5/Pkzt27dyjZt2tDDw4MA6ObmxhYtWnDjxo1GN6wiSRKvX7/OsWPHslixYgRAlUrF0qVLc+LEibxz547i/sYfPnxg//79aWdnR0dHRw4dOpTBwcFylyWbuLg45suXjwULFjSa4TGjCJePHz/S3d2d9evXV9xORmoOPgcPHkx+7qJkyZLcv3+/otri48ePnD17NitXrkxLS0sCYN68eTlo0CCeOXPGpGZkvX//nsuWLWOdOnVob29PAMyUKRO7d+/OI0eOyF1eivr48SMHDhxIe3t7Ojg4cPDgwYq9qrt27RrNzc05evRouUv5LiqShI7p4SP1SqVS6fwzdd0GkiQB0NSqj3p1/Zm63n5qToQA/K9WXdZsDH1A3wy9D+ibMfQB7X5gDMcBC5190hdevHiBDRs2wMJCLx+vMySRN29e+Pr66vwPpfQ2UPr2A6INlL79gLLbQC9b/Pr1a6RNmxaVK1fWx8f/shcvXuD8+fMoX7489u/fD19fX51/h6G3wfPnz3Hx4kWUL18eBw4c0HkbGPr2f9kH9LH9gOG3wdOnT3Ht2jWULFkSBw8eVFwf0Pf2A4bfBk+ePMGNGzdQvHhxHD58WKdtoLc4dXd3R4YMGfT18T+NJCZPnoxFixZh5MiRMDMz09t3GXIbTJ06FQsXLtRrGxjq9kuShClTpmDRokUYMWKEYvvA9OnTMW/ePIwZM0ZxfSClth8w7DaYOXMm5s6dq5c20F+LGqjnz59jw4YNcHV1xZ9//il3ObJ4+fIlNmzYABcXF9SuXVvuclLc06dPsW7dOri5uaFOnTpylyOLT58+YfPmzXB0dESNGjXkLifFKX37ASAsLAxbt26Fvb09qlatqvPPV1S4kMS8efMQFhaG1q1bG+TZhL6RREBAAEJDQ9G8eXPFtYEkSZg9ezY+f/6Mdu3aIX369HKXlOJIYvv27fjw4QNq1KiBjBkzyl1SiiKJbdu24cOHD/D19UWmTJnkLinFkcSBAwfw7t07+Pj4IHPmzDr/DkWFy6tXr7B69Wq4urqie/fuepltYeg+fPiAFStWwMnJSZFt8OTJE6xbtw7u7u7o1q2b4rYfAOLj4xEQEAALCwt07dpVr0NChiguLg4BAQGwtLRE165dFdkHkpKSsGzZMqhUKrRv314vfUAxvYokFixYgJCQEDRr1gxZsmSRu6QURxIrVqzAx48fUa9ePWTPnl3uklKUJEnw9/fH58+f0b59e8VdtQGaPnDu3DncuXMHhQsXRvHixeUuKUWRxNmzZ5O3v1ixYnKXJIv79+/j4sWLyJ49O8qXL6+X71BMuLx9+xYrVqyAs7MzevXqpcizldDQUAQEBMDOzg69evVS3Bnr48ePsX79enh4eCj2qkWSJMyfPx9qtRqdO3eGlZWV3CWlKO32S5KELl26KG77AU3Arlq1CnFxcWjevDns7e318j2KOLqQxMKFC/Hp0yc0adIE2bJlk7ukFEcS69evx6tXr1C9enXky5dP7pJSlCRJmDFjBiIiItCxY0dF3msBNAF7+PBhpE+fHnXq1FFcwAYGBuLo0aPIkCED/vzzT8VtP6A5ydyyZQscHR3RrFkzvbWBIsLl/fv3WLZsGRwdHdG7d2/FnbEDQGRkJBYsWABra2v06dNHcW3w8OFDbNq0CWnSpFHsODtJLFu2DNHR0WjRogVcXV3lLilFkcTSpUsRHR2NVq1awcXFRe6SUhxJ7N27F+/evUPlypX1envA5I8wJLF48WJ8/PgRjRo1Qo4cOeQuKcWRxI4dO/Do0SN4e3ujWLFiijq4SpKE6dOnIzIyEp07d0a6dOnkLkkWwcHBWLduHZycnNCuXTtF9QEACAoKwoYNG+Ds7Iy2bdsqbvsBIDExEUuWLIGZmRk6duyo1zYw+XB5//49AgIC4OjoiL59+yrujB0AYmNjMXv2bJibm6Nv374GvxSFrt25cwdbtmxBunTp0KVLF0UeVEhi8+bNeP/+PXx9fZE1a1a5S0pRJLFp0yZ8+PABtWrV0svUW2Nw/fp1XL16FXny5EG5cuVEuPws7VXLhw8f0LBhQ+TKlUvuklIcSRw8eBC3b99GyZIl9d6hDI1arcaUKVMQHR2Nbt26IU2aNHKXJIuYmBgsWrQIlpaWipyCHhMTg8WLF8PKygrdu3dX5EmmJEkICAhAQkIC2rVrB1tbW71+n0m38JdXLf369VNkh0pISMDMmTMBAH379lXU7BiSuH79Onbt2oWMGTPqfRjAUJHEkSNHcP/+fZQqVUpxw6IkcejQITx8+BBlypRBkSJF5C5JFm/evMGuXbvg4eGBRo0a6b0PmOzRliQWLVqk+KuWEydO4PLlyyhYsCCqVq2qqIOKWq3GhAkTEBsbi169esHd3V3ukmSRlJQEf39/AECvXr1gaWkpb0EpLDExEbNnzwYA+Pn5KW5YGPjf9OOwsDA0bNgQadOm1ft3mmy4vH37FosXL4ajoyP69++vyKuWpKQkzJgxA2q1Gn369IGNjY3cJaUY7cNyBw8eRPbs2dGmTRtFBasWSVy+fBkXLlxA7ty5FXeC8eX258mTB5UrV1bU9muFh4djxYoVsLOzQ+fOnVOkDUzyiEsSc+fORVBQEJo2bYqcOXPKXVKK0z6Jffr0aeTOnVtxc/oTEhIwfvx4JCYmYuDAgYqcdgr8b1WChIQEdOvWDXZ2dnKXlKK0a8klJiYqcvuB/80WffnyJXx8fJAnT54U+V6TDJcXL15g6dKlcHFxUexVi1qtxrRp05CUlITevXvr7SlcQ6QdYz99+jTy58+PJk2aKCpYv3T//n3s378fGTJkQOPGjRXXDg8ePMCBAweQIUOGFLnPYIhiY2Mxb948mJubw8/PL8WOhyZ31NU+0xAaGorWrVsrbv0sQHNwvXDhAo4dOwZPT080bNhQUTtVTEwMxo8fD5IYNmyYooL1S5IkYc6cOYiJiUHHjh3h5uYmd0kpiiTmz5+P6OhotGvXTnHbD2jaYP/+/cmzRcuUKZNixwKTC5f79+9jzZo18PDwQJ8+fRR1UNVKSkrClClTkJiYiN69e8PJyUnuklKM9nmO69evo3Tp0qhVq5Yi+wAAPHv2DFu2bIGHh4ciH5p8+fIlNm3ahFSpUqF9+/aK235AswL09OnToVKp0K9fvxSdLWpS4ZKUlIRx48YhMjIS3bt3V9x7KoD/3cg+evQocuTIgaZNmypqpwoLC8OkSZNgYWGBUaNGwdraWu6SZKG97/j582e0bt1acasSaJ9xCwsLQ7NmzRS5lpx2qZerV6+iaNGiKT6Zw2TChSTOnz+PXbt2IXPmzIpd9TYxMTH5Rnb//v0Vd9WyePFiPHnyBDVq1ED58uUV2QcAzVn72rVr4erqqsh9QenvLQKA6OhoTJo0CSqVCkOGDEnxEy2TCZf4+HiMGDECCQkJGDJkiCKfadA+jX/mzBn88ccfiruB+/r1a8yZMwcODg4YOXIkzM3N5S5JFiQxZ84chIaGomXLlopb6oQklixZgo8fP6J+/frw9PSUu6QURxJr167FrVu3UL58eVmmoJtEuGjH2c+ePYuiRYuiefPmijqoakVFRWH06NGKvJEtSRKmTp2Kjx8/olWrVvjjjz8U2QcAzWzJVatWwdXVVZHvLgoKCsLixYthb2+v2PUEP378iMmTJ8Pa2hpjxoyRZWUOk2j1oKAgjB49GhYWFhg/frxi57KvXLkSt27dgpeXl6JuZJPEjRs3sGrVKqRJkwYDBw5U5AEF0ITsrFmzkmdLKu2Nq9qrlnfv3qFevXop9kyHIZEkCdOmTcOrV6/QsGFDlCpVSpZjgdHvgZIkYdKkSXj+/Dnq16+PihUrKuag+qWXL19i0qRJsLGxwbhx4xS1hlhiYiJGjhyJmJgY9OnTR5GvL9YKDAzEqlWr4O7ujt69eytuX3j//j0WLFgAe3t7DBgwQHHbTxJXrlxBQEAAPDw8MHLkSNlOtIw6XLQ38ZcsWYLUqVNj3Lhxilw3KCkpCSNGjMCHDx/Qtm1blChRQjE7FUns2rULR44cQZ48edCpUyfFbPtfaddSi4iIQJcuXRQ3W1J7r+n9+/do3Lgx8ubNq7i+EBMTg/79+yMmJgaDBg1C1qxZZWsDoz4SR0ZGok+fPoiLi8PkyZMV944K4H9LO2zevBlZsmTBsGHDFDUkFBISghEjRkClUmH8+PFwdnaWuyRZaE+0tm3bhowZM6JHjx6KOrCSxKNHjxAQEABXV1cMHjxYUfsBoGmDefPm4fz58yhdunSKrSH2T4y29bU3cK9duwZvb2906NBBUTsToOlML1++RP/+/aFSqTBt2rQUWe3UUGj7wKNHj1CrVi3UqFFDcX1AKy4uDsOGDUN8fDwGDx6M1KlTy11SilKr1Rg1ahTCwsLQuXNnxa3MQRLXrl3D5MmT4ejoiJkzZ8p+79kow4UkTp48iVmzZsHNzQ3+/v6KWvFXKy4uDr169cLr16/RunVr1K5dWzEHV+2Z+sKFC+Hu7o6JEycqckgU0LTFunXrcO7cORQtWhStWrVSTD8ANNt/+PBh7NixA1myZFHkyhwRERHo2bMnIiIiMGDAABQtWlT2NjC6vZEk3r17h65duyI+Ph7Tp09X5NiqdkbIvn37UKBAAUyYMEFRB9fQ0FD07NkTsbGxmDhxIjw9PRXXBwDN/vD69WuMHj0aVlZWmDx5suxnrCktJCQE/fv3h1qtxrhx4+Dh4SF3SSlKrVZj/PjxuHTpEipWrGgwEzmM7solLi4OPXr0wKNHj9CoUSNFrhlEEtu3b8fkyZPh4uKCgIAApEqVSu6yUkxiYiKGDh2KW7duoVq1aop9wySgmcwxePBgvH37Fq1bt4aXl5ei2iIpKQnDhg3DgwcPULt2bcUt0koSu3fvxrx585AmTRrMmzfPYE4ujCpctLNhdu3ahXz58mHWrFmKmnILaDrTpUuX0K1bt+RnGgzhEjilSJKEhQsXYsWKFciYMSPmzJmj6PXD1q9fjy1btiB79uwYPXq0olYlIInVq1djxYoVyJAhA2bMmKGot2ySxMOHD9GzZ09IkoQZM2YgZ86cBnMsMJpwkSQJy5cvx7Rp0+Du7o6VK1cq7qaldkZMixYtEBoaikGDBqFZs2YG05n0TZIkbNy4EUOHDoWtrS0CAgKQJUsWxWz/l0ji9u3bGDhwICwsLDB79mykSZNG7rJSDEkcPXoUffv2hYWFBRYsWIDMmTMrpi+QREhICNq1a4f379+ja9euBve+GqMIF5LYtm0b+vTpA0tLSwQEBKBw4cIG1ZD6RhIvXrxAo0aN8Pz5c7Rp0wZDhgxRzJmqWq3G6tWr0aVLl+S3K/r4+CiqD2iRRFBQENq2bYtPnz6hd+/einp9sXbl75YtWyI6Ohpjx45V3EzBmJgYdO3aFZcuXUKlSpUM8hk/gw8XSZKwdetWdOjQIfmd8EqaFQVodqZnz56hQYMGuHPnDurWrYtZs2YpYoYcSURHR2PcuHHo1q0b1Go1Zs6ciVatWinuOQZA0x6fP39Gu3btcOPGDVSvXh3Dhw9XzEmGJEnYv38/GjRogODgYPTr1w+9evVSVF/QrkSxfft25MuXD8uWLYODg4PcZf2NQf9FEhMTsWDBArRt2xbx8fGYMmUKOnTooKiOpJ2/XqtWLdy4cQO1a9fGkiVLDLIz6RpJ3L9/H/Xr18f48ePh4OCA5cuXo1OnToo5mH6JJEJDQ9G2bVvs378fRYoUwdKlSw3mBq4+kURsbCxmzJiBJk2aICwsDIMHD8bYsWMVc59Fe2LRvXt3LFu2DFmyZMGGDRuQPn16gzzZNqzrqP9HEh8/fsTw4cOxatUq2NjYYO7cuWjXrp1iDiokkZCQgHXr1mHIkCEICQlBs2bNMH/+fDg5ORlkZ9IVkoiIiEBAQACmTZuGkJAQFClSBAsWLECRIkVMetv/ifbmbadOnXD27FkUKFAAmzdvRtq0aU2+PSRJwt27dzF48GAcOnQIjo6OmD17Njp27GhwQ0H68uXN+xMnTiB79uzYtGkT8uTJY7B/f73+ZRITE5P/+N/TANpk1k6zffz4MTJnzowFCxagatWqRnnFIklS8rZ/bxskJibi6tWrmDJlCg4cOABLS0sMGTIEQ4YMMaqzVO19IhcXFzg6OsLMzOxf20B7dnrw4EFMnDgRN27cgIODAwYOHIgBAwbA1dXVYHekfyJJEnbs2IHUqVMjW7ZscHNzSz7T/t7+EBwcjNWrV2PatGkICgpChQoVsHLlSmTMmNHg24MkDh06hDRp0iBz5szf1Q+0vydJEp4+fYrFixdjxYoVCAsLQ8GCBTF37twUfRf8ryKJU6dOIXXq1Pj999/h4OAAlUr1XW0AaFZ9X7lyJfz9/fHx40eUKlUKK1asMPhnu/QWLgkJCWjcuDEsLCyQN29e5MmTB1myZEHq1Knh4OAAc3NzqFQqSJKE8PBwPHnyBEePHsWOHTvw5MkTWFpaokmTJpg4caLRzgJJTExE9+7dYWNjg5w5c8LT0xPp0qWDq6srbG1tk7dJkiRERUXh9evXuHjxInbv3o1Lly4hPj4eefLkweTJk1GtWjWju2qLi4tDzZo1ER0djdy5c6NIkSIoWLAgcuTIgdSpU8PKygpmZmaQJAlv3rzBiRMnsG7dOty4cQMAkm9UFitWzChPLADNO3YGDRqEoKAguLm5IWvWrMidOzdy586NnDlzIkuWLEiVKhVsbW1hbm4OkoiPj0doaCgePnyIo0ePYt++fXj58iXs7OzQt29fDB8+HM7OzkaxT0RFRaFHjx749OkT0qRJg9y5cyNfvnzIlSsXPD09kSFDBjg7O8PCwgIkERcXhw8fPuDGjRvYs2cPTpw4gfDwcLi7u2PEiBHo3bu30Z1kREdHw8/PDyEhIfjtt9+S28DT0xPZs2fH77//ntwGgObFhyEhIXjw4AEOHz6M/fv34+3bt8nvpxk2bBhcXFwMvg30Fi6RkZG4fPky3r9/jy1btgAALC0tYWdnB3t7e1hYWCSHy+fPnxEdHQ21Wg17e3tUqVIFffr0gbe3d/LPGaPIyEjs2LEDQUFBAAAzMzNYW1vDzs4OdnZ2yWGhVqsRGRmJ6Ojo5Ku9HDlyoH379mjdurXR7UxaMTEx8PDwwKdPn3D06FEcPHgQKpUK1tbWcHR0hJWVFczNzaFWqxEaGorY2FhYWlqiaNGi6Nu3L2rWrAlra2uj3HYtlUqF9u3b49KlSwgMDMTNmzdx6dIlkExuCzs7O9ja2sLS0hKSJCE2NhbR0dGIjY0FSTg5OaFevXro378/ihUrZlQnGSTRoEEDXL58GU+ePMGxY8dw6NAhAIC5uXny8cDa2jp52yMjIxEfHw8zMzOkS5cObdu2RdeuXZE9e3aj7AtqtRo1atTA1atX8fz5cxw4cAB79+4F8Pc20AZsZGQk4uLiQBKurq5o3Lgx+vTpgyJFihjNiZbewsXFxQUnT57Es2fPcP/+fdy/fx/Pnj3D+/fvERERgcTERJCEmZkZMmTIgGzZsqFs2bKoWrUqcufObdShouXo6IidO3fi0aNHCAwMxKNHj/DmzRuEhIQgOjoaCQkJADShkzZtWmTIkAFFihRBpUqVUKxYMTg6Ohp1G6RKlQqHDh1CSEgInjx5gps3b+LmzZt4+PAhPn78iISEBCQmJsLMzAz58uVDqVKl8Oeff6JkyZKwsbEx6m3XcnR0xJgxYyBJEiIjI/H69Ws8efIEgYGBePDgAZ4+fYpPnz4hJiYGcXFxUKlUcHR0RObMmZEjRw6ULVsWFStWRNasWZOv9o2Jk5MTZs6ciaSkJISEhODp06cIDAzEw4cPERgYiBcvXiA8PDw5TFxcXJArVy7kz58fPj4+KFu2LDw8PIxuu7/k7OyMBQsWICEhAZ8+fcKTJ0/w6NEjPHr0CI8fP8bLly/x+fPn5OOBvb09MmXKhFy5ciX//TNnzvxdw4mGRG/hcuPGjeTLvGzZsiFbtmyQJAkJCQmIj4+HWq1ODhdbW9vkM9SXL1/i5cuX+irrK1FRUUhMTNTb59++fRtWVlZwdXVFyZIlUaJECajVasTHxyM+Pj55TFWlUiW3gZmZGWJiYnDq1Cm91fUlfbbBtWvXvtoZMmfOjMyZMyMpKQlxcXFISkpKvidlb28PKysrREVF4ejRo3qp51v03QeuXr36twOCdqg4b968SEpKQkJCAhISEqBWq6FSqWBlZQVra+vkE6zAwEAEBgbqrUZ9tsG3tt/DwwMeHh4oW7Zs8vEgKSnpb9sOAJcuXdJLXV/Sdx/4634AAL/99ht+++03lC9f/qs2AJDcBtp7c9qTc33SRxuoqD3C6VBYWBiuXbum64/Vi/Tp0+tlyQSlt4HStx8QbaD07QeU3QZ6CRdBEARB2YzjzpAgCIJgVJTxBJIJ+PIC05hu6unKl/enBEGpjGk/MIorF39/f6hUKgwZMkSvN94M2Y0bN2Bubp78DIiSfPr0Cb6+vjAzM1Pk9mvVqVMHTk5O2Lhxo9ylyOb69etQqVS4fv263KWkuBs3biBHjhxIly4dYmNj5S7nPxlFuPj5+WHq1KmYNm0aKlSogNevX8tdkpBCTp8+jYIFC+Lq1as4ePAgChUqJHdJslmzZg1q1aqFpk2bonPnzkZxgBF+HUksWLAAJUuWhJOTE86cOQNbW1u5y/pPRhEuZmZmGDBgAM6cOYPXr1+jYMGCyQ8hCaZJ++pWb29veHp64ubNm6hatarcZcnK0dERa9euxZIlS7B69WqUKFECDx8+lLssQY8+f/6MRo0aoXv37ujUqRPOnz+P7Nmzy13WdzGKcNEqVaoUbt68ibJly6JWrVro169f8oNHgun4+PEjqlWrhpEjR2L48OE4evQo0qVLJ3dZBkGlUqFDhw64fPkyEhMTUbRoUaxZs0busgQ9uHLlCgoVKoQjR45g69atmDt3rlG9ddWowgUA3NzcsHPnTsyaNQtz585FuXLl8OLFC7nLEnTk+PHjKFCgAO7cuYMjR45gzJgxiln59kfkz58fV69eRYMGDdCqVSu0a9cO0dHRcpcl6ABJzJ49G2XKlIG7uztu3LiB+vXry13WDzO6cAE0Z2+9e/fGuXPnEBQUhEKFCmHHjh1ylyX8ArVajVGjRsHHxwf58uXDzZs3UalSJbnLMmj29vZYuXIlVq5ciU2bNqF48eK4d++e3GUJvyA0NBR169ZF79690aNHD5w9exZZsmSRu6yfYpTholWsWDHcuHEDFStWRL169eDn54f4+Hi5yxJ+0Lt37+Dj44Px48dj7NixOHToENKmTSt3WUajdevWuHLlCszMzFCsWDEsX74c4tlo43Px4kUUKlQIp0+fxq5duzBz5kxYWVnJXdZPM+pwATQLZG7duhXz5s3D4sWLUaZMGTx9+lTusoTvdPjwYRQsWBCPHj3C8ePHFfXKXl3KkycPLl26hObNm6N9+/Zo1aoVoqKi5C5L+A6SJGH69OkoV64cfv/9d9y8eRO1a9eWu6xfZvThAmiGybp3744LFy4gPDwchQsXTl7mXzBMSUlJGDp0KKpWrYoiRYrg5s2b8PLykrsso2ZnZ4clS5Zg3bp12LlzJ4oUKYLbt2/LXZbwL4KDg1G7dm0MGDAAffv2xalTp5AxY0a5y9IJkwgXrcKFC+P69euoXr06GjVqhG7duiEuLk7usoS/ePPmDby9vTF16lRMnjwZ+/btg4eHh9xlmYxmzZrh2rVrsLW1RfHixbF48WIxTGaAzp49i0KFCuHixYvYt28fpkyZkrwSsikwqXABNO+P2LBhAxYvXozly5ejZMmSePTokdxlCf9v//79KFiwIF68eIFTp05h0KBBRvPyI2OSI0cOXLx4Ee3atUOXLl3QtGlTREREyF2WAM0w2KRJk1ChQgVkyZIFN2/eRI0aNeQuS+dMcq9WqVTo1KkTLl++jNjYWBQpUgTr16+XuyxFS0xMxMCBA+Hr65v8vFKZMmXkLsuk2djYYMGCBdi0aRP279+PIkWKKHLZFEMSFBSE6tWrY9iwYRg8eDCOHz+O9OnTy12WXphkuGj98ccfuHbtGurUqYPmzZujY8eOiImJkbssxXn58iXKly+PWbNmYcaMGdi9ezdSpUold1mK0ahRI9y4cQPOzs4oVaoU5s2bJ4bJZHDy5EkULFgQN2/exKFDhzB+/HiTfobLpMMFABwcHLB69WosW7YM69atQ4kSJfDgwQO5y1KMXbt2oVChQnj//j3Onj2Lvn37GsWKrqYmW7ZsOHfuHDp37oyePXuiYcOGCA8Pl7ssRVCr1Rg7diwqVaqEXLly4ebNm6hcubLcZemdyYcLoBkma9euHa5cuQJJklD0/9q796Coyj4O4N+zgLoSRqiIeR1Ix9ExzuIiiCiEKBTeSBMMQQchFQY0IgkHxRsO42VAIx28wEheIhQKE/GygiFyZ4+ZZilaKV7SQEMF1PZ5/+iVed+3N8PY3Wd3+X1m/Idl9/kemWe+u8/Z8xylErt37+Ydy6Q9fvwYS5YswfTp0+Hh4QG1Wg0XFxfesTq1rl27YsuWLcjNzYVKpYJCoUBlZSXvWCbt1q1bmDRpElauXIkVK1bg+PHj6Nu3L+9YetEpyuWZESNGoLKyEgEBAZg3bx7mzp1LW2bowJUrVzB27Fhs3boVmzdvRm5uLl555RXesci/+fv7Q61Ww9bWFu7u7khJSaFlMh04ceIEHB0dceHCBahUKiQmJnaqa7g6VbkAf2yZkZGRgaysLBw8eBBKpRLnzp3jHctkHDhwAAqFAg0NDThz5gyio6NpGcwADR48GCUlJYiOjkZMTAymT5+OhoYG3rFMwtOnT7F8+XJMmjQJjo6OkCQJb7zxBu9YetfpyuWZ4OBgVFdXw8LCAqNHj8bOnTvp3VsHtLS0IDIyEu+88w58fHxQW1sLpVLJOxZ5ji5dumDjxo3Iz8/H6dOnIYoiysrKeMcyavX19ZgwYQLWrVuHtWvXorCwEH369OEdi4tOWy4AMGzYMFRUVCAkJATh4eGYM2cOmpqaeMcyOpcuXYKbmxt27drV9tXXl19+mXcs0k5TpkyBWq3GgAEDMG7cOKxfvx4ajYZ3LKNTWFgIURRRV1eH4uJiLFu2rFNfw9V5j/zf5HI50tPTsX//fuTn57dtRULa57PPPoOTkxMePHiA8vJyLFq0iJbBjNDAgQNRXFyM2NhYxMXFYfLkybh79y7vWEbhyZMn+Oijj/Dmm2/C2dkZkiRh3LhxvGNx1+nL5ZnAwEDU1tbC0tISrq6u2LZtGy2TPUdzczMWLFiA2bNnY+rUqaipqYEoirxjkQ6wsLBAcnIyjhw5gqqqKoiiiJKSEt6xDNq1a9fg6emJjRs3Yv369fjqq6/Qq1cv3rEMApXLfxgyZAjKysoQFhaGiIgIBAQE4P79+7xjGZyLFy/CxcUFWVlZ2LFjB/bs2QMrKyvesYiW+Pr6QpIkODg4wNPTE0lJSbRM9n8cOnQIoiji2rVrKCkpwYcfftipl8H+F/1P/I9u3bohLS0NOTk5OHr0KJycnFBdXc07lsH49NNPoVQq8eTJE1RWViIsLIyWwUxQv379oFKpsGzZMixfvhy+vr64ffs271gG4fHjx/jggw8wdepUuLu7Q5IkjBkzhncsg0Pl8hdmzpwJtVoNGxsbuLm5YcuWLZ16mezhw4cIDQ1FSEgIZs6cierqaowcOZJ3LKJD5ubmWLNmDY4dO4ZvvvkGoiiiqKiIdyyufvzxR4wbNw4ff/wxUlJS8MUXX8DGxoZ3LINE5fIc9vb2KC0tRWRkJBYvXowZM2agsbGRdyy9O3/+PEaPHo3s7Oy22+paWlryjkX0xNvbG5IkYfjw4fD29saqVavw+++/846ld3l5eVAoFPjll19QWlqKJUuW0Kf256By+RtdunRpe4dSVFQEhUKBiooK3rH0gjGGjIwMODs7QyaToaqqCnPnzuUdi3BgZ2eHY8eOITExEatXr8bEiRNx8+ZN3rH0orW1FdHR0Xj77bfh5eUFtVoNZ2dn3rEMHpVLO02bNg2SJKFv375wd3fHpk2bTHqZ7MGDBwgODsb8+fMRFBSEiooKDB8+nHcswpGZmRlWrFgBlUqFixcvQhRFHD9+nHcsnaqrq8PYsWORnp6OtLQ0HDhwANbW1rxjGQUqlxcwaNAgfP3113j//fcRGxuLqVOn4tdff+UdS+vOnj2LUaNG4csvv8TevXuxY8cOdO/enXcsYiA8PT0hSRJEUYSPjw8SEhLw9OlT3rG07vPPP4dCocC9e/dQVlaGyMhIWgZ7AVQuL8jCwqLt++xlZWUQRRGlpaW8Y2kFYwzp6elwcXGBXC5HTU0N3n33Xd6xiAGytbXFkSNHkJSUhOTkZHh5eeH69eu8Y2lFS0sLFi1ahICAALz11luora2Fk5MT71hGh8rlH/Lz84MkSRg8eDA8PDyQnJxs1NcC/Pbbb5g9ezYWLlyI0NBQlJeXY+jQobxjEQMmk8kQHx+P4uJiXLlyBaIooqCggHesDvnhhx/g6uqKzMzMtp07evTowTuWUaJy6YD+/fujqKgIS5cuRXx8PPz8/HDnzh3esV7Ys3dmBQUFyM7OxtatW9GtWzfesYiReHath6urK/z8/LB06VI8efKEd6wXtnfvXjg5OaG5uRmVlZV47733aBmsA6hcOsjc3Bzr1q1DYWFh2xYop06d4h2rXRhjSEtLw5gxY2BtbQ21Wo1Zs2bxjkWMUK9evZCfn48NGzYgJSUFHh4e+Pnnn3nHapdHjx4hLCwMc+bMgb+/P2pqavD666/zjmX0qFy0xMfHB5IkYejQofDy8sKaNWsM+lqAe/fuYebMmYiKisKCBQtQWloKBwcH3rGIEZPJZIiNjUVJSQnq6+shiiLy8/N5x3qu7777Di4uLti3bx927dqFrKwsvPTSS7xjmQQqFy169dVXceLECSQkJCAxMRE+Pj64desW71h/UllZCYVCgZMnTyI3NxdbtmxB165decciJsLV1RVqtRrjx4/HtGnTEBMTg8ePH/OO9Se7d++GUqmERqNBVVUVQkNDaRlMi6hctMzMzAyrVq3CiRMn8O2330IURahUKt6xAPyxDJaSkgJ3d3fY2tpCrVbD39+fdyxigmxsbJCXl4fU1FSkpaXB3d0dV69e5R0LwB9bGc2dOxfz5s1DQEAAKisrMWLECN6xTA6Vi454eXnh7NmzGDlyJCZOnIjExESuy2QNDQ2YPn06YmJiEB0djZKSEgwePJhbHmL6BEHA4sWLUVpairt370KhUCA3N5drpnPnzkGpVOLgwYPIyspCRkYGbWWkI1QuOtSnTx8UFhZi9erVWLt2LSZMmIAbN27oPceZM2cgiiJOnz6N/Px8bNy4EV26dNF7DtI5OTs7o7a2Ft7e3pgxYwaioqLQ0tKi1wyMMezcuROjR4+GhYUFqqurERwcrNcMnQ2Vi46ZmZkhISEBJ0+exKVLl+Do6IijR4/qZWyNRoP169dj/PjxGDBgANRqNaZMmaKXsQn5T9bW1sjJycEnn3yC7du3w83NDZcvX9bL2E1NTQgKCkJ4eDhCQkJQUVGBYcOG6WXszozKRU88PDwgSRKUSiV8fX0RHx+v0y0z7ty5g8mTJyMuLg6xsbEoLi7GwIEDdTYeIX9HEARERESgvLwcTU1NcHJyQnZ2tk7HlCQJo0aNwqFDh7B//36kp6dDLpfrdEzyByoXPerduzcOHz6M5ORkbNiwAZ6enrh27ZrWxykpKYEoiqiqqsKRI0eQnJwMCwsLrY9DyD+hUChQU1MDPz8/BAYGYuHChWhubtbqGIwxbNu2Da6urrC0tERtbS0CAwO1OgZ5PioXPZPJZIiLi8OpU6fw008/QRRFHD58WCuvrdFokJSUBE9PT7z22muQJAm+vr5aeW1CtKlHjx7Yt28ftm/fjt27d8PV1RXff/+9Vl77/v37CAgIQEREBMLCwlBWVoYhQ4Zo5bVJ+1G5cDJ27FhIkgQ3NzdMnjwZsbGxf7llBmOs7SZljY2N/3er/9u3b8PX1xfLly/HsmXLoFKp0K9fP50eAyEdIQgCwsPDUVFRgdbWVowaNQp79uz5y99vzzyorq6Gk5MTjh49ipycHKSlpdFWRrwwwpVGo2GbNm1i5ubmzMXFhV29erXtscbGRpaamsocHBwYgLZ/Dg4OLDU1lTU2NjLGGFOpVMzOzo716dOHHT9+nM+BENIBTU1NLDg4mAFgoaGh7OHDh22PtWceaDQatnnzZmZhYcGUSiWrq6vjeDSEMcaoXAxEeXk5GzRoELO2tmZ5eXmssLCQWVpaMkEQmCAI/zWpnv2se/fuLCgoiAmCwLy8vNjNmzd5HwYhHZKZmcnkcjkbPnw4O3/+fLvngZubGwPAlixZwlpbW3kfBmGMCYyZ8O0UjUxjYyPmz5+PvLy8tm0o2vPnCQ4ORmZmJszMzHQdkRCdu3DhAmbNmoXLly+3bRvTnnmQmJiIlStX6jgdaS8qFwPT2NgIOzu7du/FJAgCunfvjuvXr9PtV4nJuHHjBgYNGtTur+vTPDA8dELfwGRlZb3QvTAYY3j06BGysrJ0mIoQ/crJyXmh7ZJoHhge+uRiQBhjGDJkCK5cudKuZYBnBEGAvb09Ll26RLu6EqNH88A0ULkYkLt376J3794den7Pnj21mIgQ/aN5YBpoWcyAPHjwoEPPb2pq0lISQviheWAaqFwMSEfvgGdlZaWlJITwQ/PANFC5GJCePXvCwcHhhdeLBUGAg4MDbGxsdJSMEP2heWAaqFwMiCAIiIqK+kfPjY6OppOYxCTQPDANdELfwNy7dw/9+/dHc3MzNBrN3/6+TCaDXC6n7/cTk0LzwPjRJxcDY21tjYMHD0IQBMhkz//zyGQyCIKA3NxcmlDEpNA8MH5ULgbIx8cHhw8fhlwuhyAIf/qY/+xncrkcBQUFmDRpEqekhOgOzQPjRuVioHx8fHD9+nWkpqbC3t7+vx6zt7dHamoq6uvraUIRk0bzwHjRORcjwBhDQ0MDmpqaYGVlBRsbGzppSTodmgfGhcqFEEKI1tGyGCGEEK2jciGEEKJ1VC6EEEK0jsqFEEKI1lG5EEII0ToqF0IIIVpH5UIIIUTrqFwIIYRoHZULIYQQraNyIYQQonVULoQQQrSOyoUQQojWUbkQQgjROioXQgghWvcvBf3+tMcZ62gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 500x600 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(2,1,0,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(2,1,0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "960e5447",
   "metadata": {},
   "source": [
    "### Indexing of nodes (neurons)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f4a7880f",
   "metadata": {},
   "source": [
    "Each neuron (node) is indexed by $(l,i)$ where $l$ is the layer index along depth, $i$ is the neuron index along width. In the function remove_node, we use use $(l,i)$ to indicate which node we want to remove."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c9e70d77",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "model.remove_node(1,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a22c9e31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(beta=beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "44553b6a",
   "metadata": {},
   "outputs": [],
   "source": [
    "model.remove_node(2,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "7c9b491a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(beta=beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "7b24fcdb",
   "metadata": {},
   "outputs": [],
   "source": [
    "model.remove_node(1,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0a7e9373",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(beta=beta)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ee64af1",
   "metadata": {},
   "source": [
    "### Indexing of layers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4c732dfc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 3\n",
      "2 3\n",
      "3 2\n",
      "3 2\n",
      "2 1\n",
      "2 1\n"
     ]
    }
   ],
   "source": [
    "# KAN spline layers are refererred to as act_fun\n",
    "# KAN symbolic layers are referred to as symbolic_fun\n",
    "\n",
    "model = KAN(width=[2,3,2,1])\n",
    "\n",
    "i = 0\n",
    "model.act_fun[i] # => KAN Layer (Spline)\n",
    "model.symbolic_fun[i] # => KAN Layer (Symbolic)\n",
    "\n",
    "for i in range(3):\n",
    "    print(model.act_fun[i].in_dim, model.act_fun[i].out_dim)\n",
    "    print(model.symbolic_fun[i].in_dim, model.symbolic_fun[i].out_dim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "1f0ccc8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Parameter containing:\n",
       "tensor([[0., 0.]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# check model parameters\n",
    "model.act_fun[i].grid\n",
    "model.act_fun[i].coef\n",
    "model.symbolic_fun[i].funs_name\n",
    "model.symbolic_fun[i].mask"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "01a2cbe3",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
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